112202200122100 has 108 divisors (see below), whose sum is σ = 267644839481152. Its totient is φ = 40797840916800.

The previous prime is 112202200122083. The next prime is 112202200122107. The reversal of 112202200122100 is 1221002202211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202200122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170075077 + ... + 170733523.

Almost surely, 2^{112202200122100} is an apocalyptic number.

112202200122100 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 112202200122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133822419740576).

112202200122100 is an abundant number, since it is smaller than the sum of its proper divisors (155442639359052).

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

112202200122100 is a wasteful number, since it uses less digits than its factorization.

112202200122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672566 (or 672548 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112202200122100 its reverse (1221002202211), we get a palindrome (113423202324311).

The spelling of 112202200122100 in words is "one hundred twelve trillion, two hundred two billion, two hundred million, one hundred twenty-two thousand, one hundred".