100871150965920 has 72 divisors (see below), whose sum is σ = 344222802676116. Its totient is φ = 26898973590528.

The previous prime is 100871150965919. The next prime is 100871150965943. The reversal of 100871150965920 is 29569051178001.

It is a happy number.

100871150965920 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 71 + 1 + 509 + 65 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100754457673104 + 116693292816 = 10037652^2 + 341604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35024703757 + ... + 35024706636.

Almost surely, 2^{100871150965920} is an apocalyptic number.

100871150965920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100871150965920 is an abundant number, since it is smaller than the sum of its proper divisors (243351651710196).

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

100871150965920 is a wasteful number, since it uses less digits than its factorization.

100871150965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70049410414 (or 70049410403 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 100871150965920 in words is "one hundred trillion, eight hundred seventy-one billion, one hundred fifty million, nine hundred sixty-five thousand, nine hundred twenty".