One, followed by one hundred zeros is a number referred to as a googol. Other, much longer descriptions have been used for this number, but googol is the most succinct.
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It kind of depends on what you mean. If it's (10^10)^100, then that's 10^1000 [1, followed by 1000 zeros], but if you mean 10^(10^100):10^100= [1 followed by 100 zeros, also known as a googol]10^(googol)=1 followed by a googol zeroes, also known as a googolplex.10^a= 1 followed by a number of zeroes that equals "a"...hence 10^3 is 1000, and 10^4 is 10000.
10100. If you write it out, you have a 1, followed by 100 zeroes.
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!
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.
1 googol = 10100 = '1' followed by 100 zeroes. The number has (1 googol + 1) digits.