There are 10102 0's in a googol*100
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A googol is 10^100 or 10 to the power 100, so that's 1 followed by 100 zeroes. googol x 100 = 10^102 so that's 1 followed by 102 zeroes, and that's a very BIG number!
A googol is 10^100. Let g = 10^100 (one googol). A googolplex is 10 to the power of a googol, or 10^g. Let G = 10^g (one googolplex). A googolplex to the power of a googolplex is G^G = (10^g)^G = 10^(gG) which is 1 followed by gG zeros, or 1 followed by one googol googolplex zeros. (One googol googolplex is 10^100 x 10^g = 10^(g+100) or 1 followed by one googol and one hundred zeros).
102
The number 1 followed by 100 zeroes (1 x 10100) is called a googol. 1 followed by a googol zeroes (1 x 10googol) is called a googolplex. Some people go further, where 1 x 10googolplex is called a googolplexian, the largest number with a name. Additionally, there are infinite numbers of arrangements where 100 zeroes are placed in a number.
One googol can be written in scientific notation as 1 x 10^100.