112222001122100 has 72 divisors (see below), whose sum is σ = 247313205816768. Its totient is φ = 44191764601600.

The previous prime is 112222001122003. The next prime is 112222001122157. The reversal of 112222001122100 is 1221100222211.

112222001122100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112222001122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6721649 + ... + 16420248.

It is an arithmetic number, because the mean of its divisors is an integer number (3434905636344).

Almost surely, 2^{112222001122100} is an apocalyptic number.

112222001122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112222001122100 is an abundant number, since it is smaller than the sum of its proper divisors (135091204694668).

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

112222001122100 is a wasteful number, since it uses less digits than its factorization.

112222001122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23142665 (or 23142658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 112222001122100 its reverse (1221100222211), we get a palindrome (113443101344311).

The spelling of 112222001122100 in words is "one hundred twelve trillion, two hundred twenty-two billion, one million, one hundred twenty-two thousand, one hundred".