112100122120100 has 36 divisors (see below), whose sum is σ = 243287639727300. Its totient is φ = 44834449820160.

The previous prime is 112100122120069. The next prime is 112100122120171. The reversal of 112100122120100 is 1021221001211.

It can be written as a sum of positive squares in 6 ways, for example, as 1715555083264 + 110384567036836 = 1309792^2 + 10506406^2 .

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, 69182945 + ... + 70784744.

It is an arithmetic number, because the mean of its divisors is an integer number (6757989992425).

Almost surely, 2^{112100122120100} is an apocalyptic number.

112100122120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100122120100 is an abundant number, since it is smaller than the sum of its proper divisors (131187517607200).

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

112100122120100 is a wasteful number, since it uses less digits than its factorization.

112100122120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139975712 (or 139975705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112100122120100 its reverse (1021221001211), we get a palindrome (113121343121311).

The spelling of 112100122120100 in words is "one hundred twelve trillion, one hundred billion, one hundred twenty-two million, one hundred twenty thousand, one hundred".