112121222100 has 144 divisors (see below), whose sum is σ = 333805468416. Its totient is φ = 29035584000.

The previous prime is 112121222077. The next prime is 112121222111. The reversal of 112121222100 is 1222121211.

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 112121222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5995765 + ... + 6014435.

Almost surely, 2^112121222100 is an apocalyptic number.

112121222100 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 112121222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166902734208).

112121222100 is an abundant number, since it is smaller than the sum of its proper divisors (221684246316).

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

112121222100 is a wasteful number, since it uses less digits than its factorization.

112121222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266 (or 19259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112121222100 its reverse (1222121211), we get a palindrome (113343343311).

The spelling of 112121222100 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".