112101111122112 has 84 divisors (see below), whose sum is σ = 367220108073936. Its totient is φ = 32028888890880.

The previous prime is 112101111122093. The next prime is 112101111122177. The reversal of 112101111122112 is 211221111101211.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×112101111122112² (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 13901423439 + ... + 13901431502.

Almost surely, 2^{112101111122112} is an apocalyptic number.

112101111122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112101111122112 is an abundant number, since it is smaller than the sum of its proper divisors (255118996951824).

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

112101111122112 is a wasteful number, since it uses less digits than its factorization.

112101111122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27802854966 (or 27802854953 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 112101111122112 its reverse (211221111101211), we get a palindrome (323322222223323).

The spelling of 112101111122112 in words is "one hundred twelve trillion, one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".