112120122100 has 216 divisors, whose sum is σ = 302269056320. Its totient is φ = 35335802880.

The previous prime is 112120122077. The next prime is 112120122113. The reversal of 112120122100 is 1221021211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8692456 + ... + 8705344.

Almost surely, 2^112120122100 is an apocalyptic number.

112120122100 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 112120122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151134528160).

112120122100 is an abundant number, since it is smaller than the sum of its proper divisors (190148934220).

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

112120122100 is a wasteful number, since it uses less digits than its factorization.

112120122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12987 (or 12963 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112120122100 its reverse (1221021211), we get a palindrome (113341143311).

The spelling of 112120122100 in words is "one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".