100312112112 has 80 divisors (see below), whose sum is σ = 276065247360. Its totient is φ = 31295828736.

The previous prime is 100312112107. The next prime is 100312112113. The reversal of 100312112112 is 211211213001.

It is a junction number, because it is equal to n+sod(n) for n = 100312112091 and 100312112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312112113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586903 + ... + 738294.

It is an arithmetic number, because the mean of its divisors is an integer number (3450815592).

Almost surely, 2^100312112112 is an apocalyptic number.

100312112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100312112112 is an abundant number, since it is smaller than the sum of its proper divisors (175753135248).

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

100312112112 is a wasteful number, since it uses less digits than its factorization.

100312112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325310 (or 1325304 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100312112112 its reverse (211211213001), we get a palindrome (311523325113).

The spelling of 100312112112 in words is "one hundred billion, three hundred twelve million, one hundred twelve thousand, one hundred twelve".