Gargoogol-plexed is equal to E200#2 = EE200 = 1010200, using Hyper-E notation.[1][2] It is equal to 1 followed by a gargoogol zeros. It is 10200+1 digits long. This number is a Saibianism, like almost all of the numbers prefixed by the fuga- family of prefixes as discussed by Alistair Cockburn.
When evaluating gargoogolplex, the -plex suffix is evaluated first, making the result the square of a googolplex. If the gar- prefix is evaluated first, the result is 10 to the power of googol-squared, which is a much larger number (it is equal to googolplex to the power of googol, while gargoogolplex is googolplex to the power of 2).
Writing down the full decimal expansion would take 10194 books of 400 pages each, with 2,500 digits on each page (except for the first, which would have 2,501).
Names in -illion systems[]
In Conway-Wechsler system,[5] \(10^{10^{200}}\) is expressed in short scale as follows by using Fish's result.[6]
ten trestrigintillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentillitrestrigintatrecentilliduotrigintatrecentillion
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