112121020100100 has 72 divisors (see below), whose sum is σ = 353894710726368. Its totient is φ = 27180853356800.

The previous prime is 112121020100087. The next prime is 112121020100101. The reversal of 112121020100100 is 1001020121211.

It is a super-2 number, since 2×112121020100100² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112121020100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16988030049 + ... + 16988036648.

It is an arithmetic number, because the mean of its divisors is an integer number (4915204315644).

Almost surely, 2^{112121020100100} is an apocalyptic number.

112121020100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121020100100 is an abundant number, since it is smaller than the sum of its proper divisors (241773690626268).

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

112121020100100 is a wasteful number, since it uses less digits than its factorization.

112121020100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33976066725 (or 33976066718 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112121020100100 its reverse (1001020121211), we get a palindrome (113122040221311).

The spelling of 112121020100100 in words is "one hundred twelve trillion, one hundred twenty-one billion, twenty million, one hundred thousand, one hundred".