112112010212100 has 72 divisors (see below), whose sum is σ = 324378818010240. Its totient is φ = 29896406858880.

The previous prime is 112112010212077. The next prime is 112112010212123. The reversal of 112112010212100 is 1212010211211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112112010212077) and next prime (112112010212123).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112112010212100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83308174 + ... + 84643226.

Almost surely, 2^{112112010212100} is an apocalyptic number.

112112010212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112010212100 is an abundant number, since it is smaller than the sum of its proper divisors (212266807798140).

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

112112010212100 is a wasteful number, since it uses less digits than its factorization.

112112010212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614989 (or 1614982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112112010212100 its reverse (1212010211211), we get a palindrome (113324020423311).

The spelling of 112112010212100 in words is "one hundred twelve trillion, one hundred twelve billion, ten million, two hundred twelve thousand, one hundred".