101122120202112 has 96 divisors (see below), whose sum is σ = 293870518283160. Its totient is φ = 33373636992000.

The previous prime is 101122120202111. The next prime is 101122120202143. The reversal of 101122120202112 is 211202021221101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122120202111) 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 11 ways as a sum of consecutive naturals, for example, 434436214 + ... + 434668917.

Almost surely, 2^{101122120202112} is an apocalyptic number.

101122120202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122120202112 is an abundant number, since it is smaller than the sum of its proper divisors (192748398081048).

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

101122120202112 is a wasteful number, since it uses less digits than its factorization.

101122120202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869105252 (or 869105237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122120202112 its reverse (211202021221101), we get a palindrome (312324141423213).

The spelling of 101122120202112 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty million, two hundred two thousand, one hundred twelve".