101122022100112 has 80 divisors (see below), whose sum is σ = 217156371727680. Its totient is φ = 45327877249536.

The previous prime is 101122022099999. The next prime is 101122022100119. The reversal of 101122022100112 is 211001220221101.

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

It is not an unprimeable number, because it can be changed into a prime (101122022100119) 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 15 ways as a sum of consecutive naturals, for example, 48620343 + ... + 50657494.

It is an arithmetic number, because the mean of its divisors is an integer number (2714454646596).

Almost surely, 2^{101122022100112} is an apocalyptic number.

It is an amenable number.

101122022100112 is an abundant number, since it is smaller than the sum of its proper divisors (116034349627568).

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

101122022100112 is a wasteful number, since it uses less digits than its factorization.

101122022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99278000 (or 99277994 counting only the distinct ones).

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

Adding to 101122022100112 its reverse (211001220221101), we get a palindrome (312123242321213).

The spelling of 101122022100112 in words is "one hundred one trillion, one hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred twelve".