112112010100120 has 256 divisors, whose sum is σ = 265671275950080. Its totient is φ = 42539009587200.

The previous prime is 112112010100109. The next prime is 112112010100141. The reversal of 112112010100120 is 21001010211211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112112010100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20734602457 + ... + 20734607863.

It is an arithmetic number, because the mean of its divisors is an integer number (1037778421680).

Almost surely, 2^{112112010100120} is an apocalyptic number.

112112010100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112010100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132835637975040).

112112010100120 is an abundant number, since it is smaller than the sum of its proper divisors (153559265849960).

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

112112010100120 is a wasteful number, since it uses less digits than its factorization.

112112010100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7986 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112112010100120 its reverse (21001010211211), we get a palindrome (133113020311331).

The spelling of 112112010100120 in words is "one hundred twelve trillion, one hundred twelve billion, ten million, one hundred thousand, one hundred twenty".