100091010010000 has 100 divisors (see below), whose sum is σ = 245053159371900. Its totient is φ = 39586556416000.

The previous prime is 100091010009979. The next prime is 100091010010001. The reversal of 100091010010000 is 10010190001.

It can be written as a sum of positive squares in 10 ways, for example, as 100088739678096 + 2270331904 = 10004436^2 + 47648^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (100091010010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55340905 + ... + 57120904.

It is an arithmetic number, because the mean of its divisors is an integer number (2450531593719).

Almost surely, 2^{100091010010000} is an apocalyptic number.

100091010010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100091010010000 is an abundant number, since it is smaller than the sum of its proper divisors (144962149361900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100091010010000 is an equidigital number, since it uses as much as digits as its factorization.

100091010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112461926 (or 112461905 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 100091010010000 in words is "one hundred trillion, ninety-one billion, ten million, ten thousand".