3112112000100 has 144 divisors (see below), whose sum is σ = 9407102281920. Its totient is φ = 793345728000.

The previous prime is 3112112000093. The next prime is 3112112000119. The reversal of 3112112000100 is 10002112113.

It is a super-2 number, since 2×3112112000100² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 892162 + ... + 2649561.

It is an arithmetic number, because the mean of its divisors is an integer number (65327099180).

Almost surely, 2^{3112112000100} is an apocalyptic number.

3112112000100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112112000100 is an abundant number, since it is smaller than the sum of its proper divisors (6294990281820).

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

3112112000100 is a wasteful number, since it uses less digits than its factorization.

3112112000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541870 (or 3541863 counting only the distinct ones).

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

Adding to 3112112000100 its reverse (10002112113), we get a palindrome (3122114112213).

The spelling of 3112112000100 in words is "three trillion, one hundred twelve billion, one hundred twelve million, one hundred", and thus it is an aban number.