202111122000112 has 20 divisors (see below), whose sum is σ = 421712629558360. Its totient is φ = 93282056307648.

The previous prime is 202111122000061. The next prime is 202111122000133. The reversal of 202111122000112 is 211000221111202.

202111122000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202111122000112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 485844043062 + ... + 485844043477.

It is an arithmetic number, because the mean of its divisors is an integer number (21085631477918).

Almost surely, 2^{202111122000112} is an apocalyptic number.

It is an amenable number.

202111122000112 is an abundant number, since it is smaller than the sum of its proper divisors (219601507558248).

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

202111122000112 is a wasteful number, since it uses less digits than its factorization.

202111122000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971688086560 (or 971688086554 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 202111122000112 its reverse (211000221111202), we get a palindrome (413111343111314).

The spelling of 202111122000112 in words is "two hundred two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.