A googolplex.
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Yes, it is impossible to write a googolplex (a 1 with 10 duotrigintillion zeros behind it) down in number form, because there's not enough room to write all the zeros in.
10 duotrigintillion
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.
10 followed by 5 zeros is 1,000,000 (one million). 100 followed by 3 zeros is 100,000 (one hundred thousand) so 10 followed by 5 zeros is greater.
108 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100000000 (1 followed by 8 zeros). To work out 10 to the power of any whole number, put a 1 followed by the power number of zeros, for example 104 is 1 followed by 4 zeros (10000); 1016 is 1 followed by 16 zeros (10000000000000000).