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Giggol
100000.....00000    99

100000.....00000

100000.....00000
100000.....00000
10000000000
Giggol in zeroes

Giggol is equal to $$\lbrace10,100,2\rbrace$$ in BEAF, or 10 tetrated to 100.[1] Thus, it is equal to 10010 = 1010...1010, where there are 100 tens. The term was coined by Jonathan Bowers. The megafugahundred can be a good upper bound.

This number is also called hectalogue by Sbiis Saibian, and it's equal to E1#100 = E10#99 = E1010#98 in Hyper-E notation.[2][3]

It was the last number listed in Robert Munafo's Notable Properties of Specific Numbers.[4] In February 2013, it was superseded by mega.

Username5243 calls this number doogol, and it's equal to 10[2]100 in Username5243's Array Notation.[5]

## Approximations

Notation Lower bound Upper bound
Arrow notation $$10 \uparrow\uparrow 100$$
Steinhaus-Moser Notation $$98[4]$$ $$99[4]$$
Chained arrow notation $$10 \rightarrow 100 \rightarrow 2$$
Hyper-E notation $$\textrm{E}1\#100$$
Hyperfactorial array notation $$102!1$$ $$103!1$$
Nested Factorial Notation $$98![2]$$ $$99![2]$$
Fast-growing hierarchy $$f_3(98)$$ $$f_3(99)$$
Hardy hierarchy $$H_{(\omega^2)99}(30)$$ $$H_{(\omega^2)99}(31)$$
Slow-growing hierarchy (using this system of fundamental sequences) $$g_{\varepsilon_0[101]}(10)$$

## Sources

Googol and related numbers

Originals: googol · googolplex
Cockburn's examples: gargoogolplex · fzgoogolplex · (mega)fugagoogolplex
Googol-n-plex: googolduplex · googoltriplex · -quadriplex · -quinplex · -sextiplex · -septiplex · -octiplex · -noniplex · -deciplex · -centiplex
Googol-103n-plex: googolmilliplex · -megaplex · -gigaplex · -teraplex · -petaplex · -exaplex · -zettaplex · -yottaplex · -xennaplex · -vekaplex · -mekaplex
Bowers' extensions: giggol · gaggol · geegol · boogol · biggol · troogol · goobol · more...
Saibian's extensions: googol-minutia · googolchime · googoltoll · googolgong · grangol · greagol · gigangol · gugold · graatagold · gugolthra · throogol · godgahlah · tethrathoth · more...
Miscellany: googolbang (10100!) · googolminex (10^-10100) · googolteen · googolty · great googol(plex) · gooprol · little googol/googolbit · zootzootplex

Jonathan Bowers' googol series

Googol series: googol(plex/duplex/triplex/quadraplex/quinplex) · giggol(plex/duplex) · gaggol(plex/duplex) · geegol(plex) · gigol(plex) · goggol(plex) · gagol(plex)
Boogol series: boogol(plex/duplex/triplex) · biggol(plex/duplex) · baggol(plex) · beegol(plex) · bigol · boggol · bagol
Troogol series: troogol(plex/duplex) · triggol(plex/duplex) · traggol(plex/duplex) · treegol · trigol · troggol · tragol
Quintoogol series: quintoogol(plex) · quintiggol · quintaggol · quinteegol · quintigol · quintagol
Sextoogol series: sextoogol · septoogol · octoogol
Goobol series: goobol(plex) · gibbol · gabbol · geebol · gibol · gobbol · gabol
Boobol series: boobol · bibbol · babbol · beebol · bibol · bobbol · babol
Troobol series: troobol · tribbol · trabbol
Gootrol series: gootrol · gitrol · gatrol · geetrol · gietrol · gotrol · gaitrol
Bootrol series: bootrol · trootrol · quadrootrol
Note: The readers should be careful that numbers defined by Username5243's Array Notation are ill-defined as explained in Username5243's Array Notation#Issues. So, when an article refers to a number defined by the notation, it actually refers to an intended value, not an actual value itself (for example, a[c]b = $$a \uparrow^c b$$ in arrow notation). In addition, even if the notation is ill-defined, a class category should be based on an intended value when listed, not an actual value itself, as it is not hard to fix all the issues from the original definition, hence it should not be removed.