112416734022100 has 18 divisors (see below), whose sum is σ = 243944312828174. Its totient is φ = 44966693608800.

The previous prime is 112416734022083. The next prime is 112416734022127. The reversal of 112416734022100 is 1220437614211.

It can be written as a sum of positive squares in 3 ways, for example, as 110406011076 + 112306328011024 = 332274^2 + 10597468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 562083670011 + ... + 562083670210.

Almost surely, 2^{112416734022100} is an apocalyptic number.

112416734022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112416734022100 is an abundant number, since it is smaller than the sum of its proper divisors (131527578806074).

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

112416734022100 is a wasteful number, since it uses less digits than its factorization.

112416734022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124167340235 (or 1124167340228 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 112416734022100 in words is "one hundred twelve trillion, four hundred sixteen billion, seven hundred thirty-four million, twenty-two thousand, one hundred".