112202102100 has 144 divisors (see below), whose sum is σ = 357078770496. Its totient is φ = 27200412800.

The previous prime is 112202102083. The next prime is 112202102123. The reversal of 112202102100 is 1201202211.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 258802 + ... + 539798.

It is an arithmetic number, because the mean of its divisors is an integer number (2479713684).

Almost surely, 2^112202102100 is an apocalyptic number.

112202102100 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 112202102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178539385248).

112202102100 is an abundant number, since it is smaller than the sum of its proper divisors (244876668396).

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

112202102100 is a wasteful number, since it uses less digits than its factorization.

112202102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281047 (or 281018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112202102100 its reverse (1201202211), we get a palindrome (113403304311).

The spelling of 112202102100 in words is "one hundred twelve billion, two hundred two million, one hundred two thousand, one hundred".