100181607411120 has 80 divisors (see below), whose sum is σ = 312034845610752. Its totient is φ = 26588483470080.

The previous prime is 100181607411097. The next prime is 100181607411187. The reversal of 100181607411120 is 21114706181001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989104252 + ... + 989205531.

Almost surely, 2^{100181607411120} is an apocalyptic number.

100181607411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100181607411120 is an abundant number, since it is smaller than the sum of its proper divisors (211853238199632).

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

100181607411120 is a wasteful number, since it uses less digits than its factorization.

100181607411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978310010 (or 1978310004 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 33.

The spelling of 100181607411120 in words is "one hundred trillion, one hundred eighty-one billion, six hundred seven million, four hundred eleven thousand, one hundred twenty".