100312232112 has 80 divisors (see below), whose sum is σ = 304870531680. Its totient is φ = 31470501888.

The previous prime is 100312232089. The next prime is 100312232113. The reversal of 100312232112 is 211232213001.

100312232112 is a `hidden beast` number, since 10 + 0 + 312 + 232 + 112 = 666.

It is a super-2 number, since 2×100312232112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100312232113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6822193 + ... + 6836880.

It is an arithmetic number, because the mean of its divisors is an integer number (3810881646).

Almost surely, 2^100312232112 is an apocalyptic number.

100312232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100312232112 is an abundant number, since it is smaller than the sum of its proper divisors (204558299568).

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

100312232112 is a wasteful number, since it uses less digits than its factorization.

100312232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659107 (or 13659095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100312232112 its reverse (211232213001), we get a palindrome (311544445113).

The spelling of 100312232112 in words is "one hundred billion, three hundred twelve million, two hundred thirty-two thousand, one hundred twelve".