What if I told you the famous Googol number actually has many derivatives? In this page, I'll show you how they're combined, which are actually easier than combining illions.
Many of the tiers are technically infinitely extendable, though it isn't that recommended unless you're doing a LNGI with names. This page is inspired by smol twi's Googols page.
TIER 1 | Suffixes
The 100 at the end is replaced with a power of 10. The suffix is placed at the end of the word.
-chime = 1,000 | Googolchime - 10↑1,000 / 10{1}1,000 / {10, 1,000}
-toll = 10,000 | Googoltoll - 10↑10,000 / 10{1}10,000 / {10, 10,000}
-gong = 100,000 | Googolgong - 10↑100,000 / 10{1}100,000 / {10, 100,000}
-bong = 100,000,000 | Googolbong - 10↑100,000,000 / 10{1}100,000,000 / {10, 100,000,000}
-throng = 100,000,000,000 | Googolthrong
10↑100,000,000,000 / 10{1}100,000,000,000 / {10, 100,000,000,000}
Extras:
-quadrigong = 100,000,000,000,000 | Googolquadrigong (also known as Googolquadrine)
-quintigong = 10↑17 | Googolquintigong
-sextigong = 10↑20 | Googolsextigong
-septigong = 10↑23 | Googolseptigong
-octigong = 10↑26 | Googoloctigong
-nonigong = 10↑29 | Googolnonigong
-decigong = 10↑32 | Googoldecigong
By this point, you would want to use the illion prefixes found in "How to write big illions" page.
TIER 2 | Plexes
There's a nest of Googols (or later versions) that are at the end. These are placed at the end of the word, with the suffixes placed at the right of the -plex with an i.
-plex = 2 10s | Googolplex
10↑10↑100 / 10{1}10{1}100 / {10, {10, 100}}
-duplex = 3 10s | Googolduplex
10↑10↑10↑100 / 10{1}10{1}10{1}100 / {10, {10, {10, 100}}}
-triplex = 4 10s | Googoltriplex
10↑10↑10↑10↑100 / 10{1}10{1}10{1}10{1}100 / {10, {10, {10, {10, 100}}}}
-quadriplex = 5 10s | Googolquadriplex
10↑10↑10↑10↑10↑100 or (10↑)^5 100 / 10{1}10{1}10{1}10{1}10{1}100 or (10{1})^5 100 / {10, {10, {10, {10, {10, 100}}}}}
-quintiplex = 6 10s | Googolquintiplex
(10↑)^6 100 / (10{1})^6 100 / {10, {10, {10, {10, {10, {10, 100}}}}}}
-sextiplex = 7 10s | Googolsextiplex
(10↑)^7 100 / (10{1})^7 100 / {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}
-septiplex = 8 10s | Googolseptiplex
(10↑)^8 100 / (10{1})^8 100 / {10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}
-octiplex = 9 10s | Googoloctiplex
(10↑)^9 100 / (10{1})^9 100 / {10, {10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}}
-noniplex = 10 10s | Googolnoniplex
(10↑)^10 100 / (10{1})^10 100 / {10, {10, {10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}}}
-deciplex = 11 10s | Googoldeciplex
(10↑)^11 100 / (10{1})^11 100 / {10, {10, {10, {10, {10, {10, {10, {10, {10, {10, {10, 100}}}}}}}}}}}
Again, at this point you want to use the illion prefixes found in "How to write big illions" page.
With the previous tier...
Googolplexichime | 10↑10↑1,000 / 10{1}10{1}1,000 / {10, {10, 1,000}}
Googolplexitoll | 10↑10↑10,000 / 10{1}10{1}10,000 / {10, {10, 10,000}}
Googolplexigong | 10↑10↑100,000 / 10{1}10{1}100,000 / {10, {10, 100,000}}
Googolplexibong | 10↑10↑100,000,000 / 10{1}10{1}100,000,000 / {10, {10, 100,000,000}}
Googolplexithrong | 10↑10↑100,000,000,000 / 10{1}10{1}100,000,000,000 / {10, {10, 100,000,000,000}}
TIER 3 | Replacing -oo-
The number of arrows / higher numbers in the operator brackets / the next entry in the BEAF/BAN arrays on the right change the -oo- part of the name.
Giggol | 10↑↑100 / 10{2}100 / {10, 100, 2}
Gaggol | 10↑↑↑100 / 10{3}100 / {10, 100, 3}
Geegol | 10↑↑↑↑100 / 10{4}100 / {10, 100, 4}
Gigol | 10↑↑↑↑↑100 / 10{5}100 / {10, 100, 5}
Goggol | 10↑↑↑↑↑↑100 / 10{6}100 / {10, 100, 6}
Gagol | 10↑↑↑↑↑↑↑100 / 10{7}100 / {10, 100, 7}
Gocgol | 10↑↑↑↑↑↑↑↑100 / 10{8}100 / {10, 100, 8}
Gengol | 10↑↑↑↑↑↑↑↑↑100 / 10{9}100 / {10, 100, 9}
Gexgol | 10↑↑↑↑↑↑↑↑↑↑100 / 10{10}100 / {10, 100, 10}
This tier isn't infinitely extendable, but you can use Greek prefixes from here on, with Gexgol also being Dekagol. Note that this doesn't work with Tier 4 Googols.
With the previous tiers...
Giggolchime | 10↑↑1,000 / 10{2}1,000 / {10, 1,000, 2}
Giggoltoll | 10↑↑10,000 / 10{2}10,000 / {10, 10,000, 2}
Giggolgong | 10↑↑100,000 / 10{2}100,000 / {10, 100,000, 2}
Giggolbong | 10↑↑100,000,000 / 10{2}100,000,000 / {10, 100,000,000, 2}
Giggolthrong | 10↑↑100,000,000,000 / 10{2}100,000,000,000 / {10, 100,000,000,000, 2}
Giggolplex | 10↑↑10↑↑100 / 10{2}10{2}100 / {10, {10, 100, 2}, 2}
Giggolduplex | 10↑↑10↑↑10↑↑100 / 10{2}10{2}10{2}100 / {10, {10, {10, 100, 2}, 2}, 2}
Giggoltriplex | 10↑↑10↑↑10↑↑10↑↑100 / 10{2}10{2}10{2}10{2}100 / {10, {10, {10, {10, 100, 2}, 2}, 2}, 2}
TIER 4 | Replacing G-
The first letter, which is G, of the word is replaced with either a Greek or Latin prefix. This counts how many 10s are in the BEAF/BAN arrays.
Boogol = 3 entries | 10{100}10 / {10, 10, 100}
Troogol = 4 entries | {10, 10, 10, 100}
Quadroogol = 5 entries | {10, 10, 10, 10, 100}
Quintoogol = 6 entries | {10, 10, 10, 10, 10, 100}
Sextoogol = 7 entries | {10, 10, 10, 10, 10, 10, 100}
Septoogol = 8 entries | {10, 10, 10, 10, 10, 10, 10, 100}
Octoogol = 9 entries | {10, 10, 10, 10, 10, 10, 10, 10, 100}
Nonoogol = 10 entries | {10, 10, 10, 10, 10, 10, 10, 10, 10, 100}
Decoogol = 11 entries | {10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 100}
With the illion prefixes, this one is infinitely extendable as well.
With the previous tiers...
Boogolchime | 10{1,000}10 / {10, 10, 1,000}
Boogoltoll | 10{10,000}10 / {10, 10, 10,000}
Boogolgong | 10{100,000}10 / {10, 10, 100,000}
Boogolbong | 10{100,000,000}10 / {10, 10, 100,000,000}
Boogolthrong | 10{100,000,000,000}10 / {10, 10, 100,000,000,000}
Boogolplex | 10{10{100}10}10 / {10, 10, {10, 10, 100}}
Boogolduplex | 10{10{10{100}10}10}10 / {10, 10, {10, 10, {10, 10, 100}}}
Boogoltriplex | 10{10{10{10{100}10}10}10}10 / {10, 10, {10, 10, {10, 10, {10, 10, 100}}}}
Biggol | 10{{100}}10 / {10, 10, 100, 2}
Baggol | 10{{{100}}}10 / {10, 10, 100, 3}
Beegol | 10{{{{100}}}}10 / {10, 10, 100, 4}
Bigol | 10{{{{{100}}}}}10 / {10, 10, 100, 5}
Boggol | 10{{{{{{100}}}}}}10 / {10, 10, 100, 6}
Bagol | {10, 10, 100, 7}
Bocgol | {10, 10, 100, 8}
Bengol | {10, 10, 100, 9}
Bexgol | {10, 10, 100, 10}
You can also put the word "Googol" as a replacement for the "G" so it sounds like saying "Googol" twice.
Googoloogol | {10, 10, ... , 10, 100} (10↑100+1 entries)
TIER 5 | Replacing g's
The number on the right of the dimensional nest of BEAF and BAN arrays change the g's of Googol. This also affects the Tier 3 Googols, but only with the first Tier 5.
This is the first time I have to put the previous tiers in between Tier 5 entries since not all combine equally.
Gray color means it's affected by multiple tiers.
Goobol | {10, 100 (1) 2} / {10, 100 [2] 2}
Goobolchime | {10, 1,000 (1) 2} / {10, 1,000 [2] 2}
Gooboltoll | {10, 10,000 (1) 2} / {10, 10,000 [2] 2}
Goobolgong | {10, 100,000 (1) 2} / {10, 100,000 [2] 2}
Goobolbong | {10, 100,000,000 (1) 2} / {10, 100,000,000 [2] 2}
Goobolthrong | {10, 100,000,000,000 (1) 2} / {10, 100,000,000,000 [2] 2}
Goobolplex | {10, {10, 100 (1) 2} (1) 2} / {10, {10, 100 [2] 2} [2] 2}
Goobolduplex | {10, {10, {10, 100 (1) 2} (1) 2} (1) 2} / {10, {10, {10, 100 [2] 2} [2] 2} [2] 2}
Gooboltriplex | {10, {10, {10, {10, 100 (1) 2} (1) 2} (1) 2} (1) 2} / {10, {10, {10, {10, 100 [2] 2} [2] 2} [2] 2} [2] 2}
Gibbol | {10, 100, 2 (1) 2} / {10, 100, 2 [2] 2}
Gabbol | {10, 100, 3 (1) 2} / {10, 100, 3 [2] 2}
Geebol | {10, 100, 4 (1) 2} / {10, 100, 4 [2] 2}
Gibol | {10, 100, 5 (1) 2} / {10, 100, 5 [2] 2}
Gobbol | {10, 100, 6 (1) 2} / {10, 100, 6 [2] 2}
Gabol | {10, 100, 7 (1) 2} / {10, 100, 7 [2] 2}
Gocbol | {10, 100, 8 (1) 2} / {10, 100, 8 [2] 2}
Genbol | {10, 100, 9 (1) 2} / {10, 100, 9 [2] 2}
Gexbol | {10, 100, 10 (1) 2} / {10, 100, 10 [2] 2}
Boobol | {10, 10, 100 (1) 2} / {10, 10, 100 [2] 2}
Troobol | {10, 10, 10, 100 (1) 2} / {10, 10, 10, 100 [2] 2}
Quadroobol | {10, 10, 10, 10, 100 (1) 2} / {10, 10, 10, 10, 100 [2] 2}
Gootrol | {10, 100 (1) 3} / {10, 100 [2] 3}
Gitrol | {10, 100, 2 (1) 3} / {10, 100, 2 [2] 3}
Gatrol | {10, 100, 3 (1) 3} / {10, 100, 3 [2] 3}
Geetrol | {10, 100, 4 (1) 3} / {10, 100, 4 [2] 3}
Gietrol | {10, 100, 5 (1) 3} / {10, 100, 5 [2] 3}
Gotrol | {10, 100, 6 (1) 3} / {10, 100, 6 [2] 3}
Gaitrol | {10, 100, 7 (1) 3} / {10, 100, 7 [2] 3}
Goctrol | {10, 100, 8 (1) 3} / {10, 100, 8 [2] 3}
Gentrol | {10, 100, 9 (1) 3} / {10, 100, 9 [2] 3}
Gextrol | {10, 100, 10 (1) 3} / {10, 100, 10 [2] 3}
Bootrol | {10, 10, 100 (1) 3} / {10, 10, 100 [2] 3}
Trootrol | {10, 10, 10, 100 (1) 3} / {10, 10, 10, 100 [2] 3}
Quadrootrol | {10, 10, 10, 10, 100 (1) 3} / {10, 10, 10, 10, 100 [2] 3}
Gooquadrol | {10, 100 (1) 4} / {10, 100 [2] 4}
Gooquintol | {10, 100 (1) 5} / {10, 100 [2] 5}
Goosextol | {10, 100 (1) 6} / {10, 100 [2] 6}
Gooseptol | {10, 100 (1) 7} / {10, 100 [2] 7}
Goo-octol | {10, 100 (1) 8} / {10, 100 [2] 8}
Goo-nonol | {10, 100 (1) 9} / {10, 100 [2] 9}
Goo-decol | {10, 100 (1) 10} / {10, 100 [2] 10}
This one can be infinitely extended, though Goo-nonol is usually the end of the line.
TIER 6 | Dimensional Googols
This tier affects entries on the righthand side of the dimensional arrays.
The previous tiers will be shortened to reduce the space taken.
Gossol | {10, 10 (1) 100} / {10, 10 [2] 100}
Gossolchime | {10, 10 (1) 1,000} / {10, 10 [2] 1,000}
Gossoltoll | {10, 10 (1) 10,000} / {10, 10 [2] 10,000}
Gossolgong | {10, 10 (1) 100,000} / {10, 10 [2] 100,000}
Gossolplex | {10, 10 (1) {10, 10 (1) 100}} / {10, 10 [2] {10, 10 [2] 100}}
Gossolduplex | {10, 10 (1) {10, 10 (1) {10, 10 (1) 100}}} / {10, 10 [2] {10, 10 [2] {10, 10 [2] 100}}}
Gissol | {10, 10 (1) 100, 2} / {10, 10 [2] 100, 2}
Gassol | {10, 10 (1) 100, 3} / {10, 10 [2] 100, 3}
Geesol | {10, 10 (1) 100, 4} / {10, 10 [2] 100, 4}
Gussol | {10, 10 (1) 100, 5} / {10, 10 [2] 100, 5}
Goosol | {10, 10 (1) 100, 6} / {10, 10 [2] 100, 6}
Gasol | {10, 10 (1) 100, 7} / {10, 10 [2] 100, 7}
Mossol | {10, 10 (1) 10, 100} / {10, 10 [2] 10, 100}
Bossol | {10, 10 (1) 10, 10, 100} / {10, 10 [2] 10, 10, 100}
Trossol | {10, 10 (1) 10, 10, 10, 100} / {10, 10 [2] 10, 10, 10, 100}
Tier 5 doesn't combine with this.
TIER 7 | TBA
TBA
Other extensions
Some versions don't just increment in size. Some versions decrease the value as well.
-bang = Factorial
Googolbang - (10↑100)! ≈ 412↑972↑34 to 107↑405↑39
Googolchimebang - (10↑1,000)!
Googolplexbang - (10↑10↑100)!
Giggolbang - (10↑↑100)!
(only effective with the early tiers)
-teen = Add 10 to the result
Googolteen - 10↑100 +10
Googolchimeteen - 10↑1,000 +10
Googolplexteen - 10↑10↑100 +10
Giggolteen - 10↑↑100 +10
-speck = 10 less to the righthand number
Googolspeck - 10↑90
Googolchimespeck - 10↑990
Googolplexspeck - 10↑10↑90
Giggolspeck - 10↑↑90
Boogolspeck - 10{90}10
-ty = Add 1 to the exponent of 10 (or times by 10)
Googolty - 10↑101
Googolchimety - 10↑1,001
Googolplexty - 10↑(10↑100+1)
Giggolty - 10↑↑100*10
-swarm = Add 10 to the righthand number
Googolswarm - 10↑110
Googolchimeswarm - 10↑1,010
Googolplexswarm - 10↑10↑110
Giggolswarm - 10↑↑110
Boogolswarm - 10{110}10
-minutia = Negative of the righthand number (keep the hyphen)
Googol-minutia - 10↑-100 = 0.000...001 (100 zeros)
(only works with Tier 1 Googols)
-minex = 10↑-n
Googolminex - 10↑-(10↑100) = 0.000...001 (10↑100 zeros)
Googolchimeminex - 10↑-(10↑1,000) = 0.000...001 (10↑1,000 zeros)
Googolplexminex - 10↑-(10↑10↑100) = 0.000...001 (10↑10↑100 zeros)
Giggolminex - 10↑-(10↑↑100) = 0.000...001 (10↑↑100 zeros)
"-bit" or "Little" = Binary Googols (can also use "Binary-")
Little Googol / Googolbit - 2↑100
Little Googolchime / Googolchimebit - 2↑1,000
Little Googolplex / Googolplexbit - 2↑2↑100
Little Giggol / Giggolbit - 2↑↑100
(only really works with the first 3 tiers)
-trit = Ternary Googols (can also use "Ternary-")
Googoltrit - 3↑100
Googolchimetrit - 3↑1,000
Googolplextrit - 3↑3↑100
Giggoltrit - 3↑↑100
Boogoltrit - 3{100}3
-oct = Octal Googols (can also use "Octal-")
Googoloct - 8↑100
Googolchimeoct - 8↑1,000
Googolplexoct - 8↑8↑100
Giggoloct - 8↑↑100
Boogoloct - 8{100}8
-hextet = Hexadecimal Googols (can also use "Hexadecimal-")
Googolhextet - 16↑100
Googolchimehextet - 16↑1,000
Googolplexhextet - 16↑16↑100
Giggolhextet - 16↑↑100
Boogolhextet - 16{100}16
Greek prefixes of Tier 4 (mainly uses Extended Hyper-E Notation)
Throogol - E100###100 ≈ {100, 101, 99, 99}
Tetroogol - E100####100 ≈ {100, 100, 100, 100, 99}
Pentoogol - E100#####100 ≈ {100, 100, 100, 100, 100, 99}
Hexoogol - E100######100 ≈ {100, 100, 100, 100, 100, 100, 99}
Heptoogol - E100#######100 ≈ {100, 100, 100, 100, 100, 100, 100, 99}
Ogdoogol - E100########100
Entoogol - E100#########100
Dektoogol - E100##########100