100164251611020 has 48 divisors (see below), whose sum is σ = 280466294250240. Its totient is φ = 26709858549696.

The previous prime is 100164251611007. The next prime is 100164251611117. The reversal of 100164251611020 is 20116152461001.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16358530 + ... + 21631689.

It is an arithmetic number, because the mean of its divisors is an integer number (5843047796880).

Almost surely, 2^{100164251611020} is an apocalyptic number.

100164251611020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100164251611020 is an abundant number, since it is smaller than the sum of its proper divisors (180302042639220).

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

100164251611020 is a wasteful number, since it uses less digits than its factorization.

100164251611020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38034174 (or 38034172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 100164251611020 in words is "one hundred trillion, one hundred sixty-four billion, two hundred fifty-one million, six hundred eleven thousand, twenty".