100312122000 has 80 divisors (see below), whose sum is σ = 323406300672. Its totient is φ = 26749897600.

The previous prime is 100312121999. The next prime is 100312122059. The reversal of 100312122000 is 221213001.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8353344 + ... + 8365343.

Almost surely, 2^100312122000 is an apocalyptic number.

100312122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100312122000 is an abundant number, since it is smaller than the sum of its proper divisors (223094178672).

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

100312122000 is a wasteful number, since it uses less digits than its factorization.

100312122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16718713 (or 16718697 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100312122000 its reverse (221213001), we get a palindrome (100533335001).

The spelling of 100312122000 in words is "one hundred billion, three hundred twelve million, one hundred twenty-two thousand".