112201002100100 has 36 divisors (see below), whose sum is σ = 243716526380964. Its totient is φ = 44836096356480.

The previous prime is 112201002100097. The next prime is 112201002100153. The reversal of 112201002100100 is 1001200102211.

It can be written as a sum of positive squares in 6 ways, for example, as 57042099074884 + 55158903025216 = 7552622^2 + 7426904^2 .

It is a super-2 number, since 2×112201002100100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 553704239 + ... + 553906838.

Almost surely, 2^{112201002100100} is an apocalyptic number.

112201002100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201002100100 is an abundant number, since it is smaller than the sum of its proper divisors (131515524280864).

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

112201002100100 is a wasteful number, since it uses less digits than its factorization.

112201002100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107612104 (or 1107612097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112201002100100 its reverse (1001200102211), we get a palindrome (113202202202311).

The spelling of 112201002100100 in words is "one hundred twelve trillion, two hundred one billion, two million, one hundred thousand, one hundred".