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DEFINITION

A googol is the large number 10^100, that is, the digit 1 followed by one hundred zeros (in decimal representation). The term was coined in 1920 by nine-year-old Milton Sirotta, nephew of American [mathematician] Edward Kasner. Kasner popularized the concept in his book [Mathematics] and the [Imagination].

A googol is of the same order of magnitude as the factorial of 70 (70! being [approximately] 1.198 googol, or 10 to the power 100.0784), and its only prime factors are 2 and 5 (100 of each). In binary it would take up 333 bits.

The googol is of no particular significance in [mathematics], but is useful when comparing with other incredibly large quantities such as the number of subatomic particles in the visible universe or the number of possible chess games. Kasner created it to illustrate the difference between an unimaginably large number and infinity, and in this role it is sometimes used in teaching [mathematics]. Indeed, it is not even a round figure. Its formal name is ten duotrigintillion.

[The Internet] search engine Google was named after this number. Larry Page, one of the founders, was fascinated with [mathematics] and "Googol," even during high school. They ended up with "Google" due to a spelling mistake.12

The word "google" or "googol," regardless of spelling, suggests the wide-eyed look of a baby, and the comic strip character Barney Google who began appearing in the 1910s.

A googol can be written in conventional notation as follows:

1 googol = 
10100 = 
10,00 0,000,000,000,00 0,000,000,00 0,000,000,000,
     000,00 0,000,00 0,000,00 0,000,000,00 0,000,000,
     000,00 0,000,000,0 00,000,0 00,000,0 00,000,000 
Its official English number name is ten duotrigintillion on the short scale, ten thousand sexdecillion on the long scale, or ten sexdecilliard on the Peletier long scale.

HISTORY

When it was named in 1920, the googol was undeniably large. However, with the invention of fast computers and fast algorithms, computation with numbers the size of a googol has become routine. For example, even the difficult problem of prime factorization is now fairly accessible for 100-digit numbers. However, computations of a googol steps are still completely out of reach

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