3112312112100 has 54 divisors (see below), whose sum is σ = 9755369411970. Its totient is φ = 829949896320.

The previous prime is 3112312112059. The next prime is 3112312112123. The reversal of 3112312112100 is 12112132113.

3112312112100 is a `hidden beast` number, since 3 + 11 + 231 + 211 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 132628529124 + 2979683582976 = 364182^2 + 1726176^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1729061385 + ... + 1729063184.

Almost surely, 2^{3112312112100} is an apocalyptic number.

3112312112100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112312112100 is an abundant number, since it is smaller than the sum of its proper divisors (6643057299870).

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

3112312112100 is a wasteful number, since it uses less digits than its factorization.

3112312112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458124589 (or 3458124579 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 3112312112100 its reverse (12112132113), we get a palindrome (3124424244213).

The spelling of 3112312112100 in words is "three trillion, one hundred twelve billion, three hundred twelve million, one hundred twelve thousand, one hundred".