100512017172 has 72 divisors (see below), whose sum is σ = 291972425472. Its totient is φ = 28559044800.

The previous prime is 100512017117. The next prime is 100512017189. The reversal of 100512017172 is 271710215001.

100512017172 is a `hidden beast` number, since 10 + 0 + 512 + 0 + 1 + 71 + 72 = 666.

100512017172 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056204 + ... + 1147427.

It is an arithmetic number, because the mean of its divisors is an integer number (4055172576).

Almost surely, 2^100512017172 is an apocalyptic number.

100512017172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100512017172 is an abundant number, since it is smaller than the sum of its proper divisors (191460408300).

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

100512017172 is a wasteful number, since it uses less digits than its factorization.

100512017172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203829 (or 2203824 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 100512017172 in words is "one hundred billion, five hundred twelve million, seventeen thousand, one hundred seventy-two".