112011222100100 has 36 divisors (see below), whose sum is σ = 243073602114084. Its totient is φ = 44802783742080.

The previous prime is 112011222100087. The next prime is 112011222100157. The reversal of 112011222100100 is 1001222110211.

It can be written as a sum of positive squares in 6 ways, for example, as 44730558016 + 111966491542084 = 211496^2 + 10581422^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18671279 + ... + 23929878.

It is an arithmetic number, because the mean of its divisors is an integer number (6752044503169).

Almost surely, 2^{112011222100100} is an apocalyptic number.

112011222100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011222100100 is an abundant number, since it is smaller than the sum of its proper divisors (131062380013984).

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

112011222100100 is a wasteful number, since it uses less digits than its factorization.

112011222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42627464 (or 42627457 counting only the distinct ones).

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

Adding to 112011222100100 its reverse (1001222110211), we get a palindrome (113012444210311).

The spelling of 112011222100100 in words is "one hundred twelve trillion, eleven billion, two hundred twenty-two million, one hundred thousand, one hundred".