101122122012 has 48 divisors (see below), whose sum is σ = 248541874560. Its totient is φ = 31911219648.

The previous prime is 101122121953. The next prime is 101122122037. The reversal of 101122122012 is 210221221101.

It is a junction number, because it is equal to n+sod(n) for n = 101122121982 and 101122122000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178663 + ... + 483905.

It is an arithmetic number, because the mean of its divisors is an integer number (5177955720).

Almost surely, 2^101122122012 is an apocalyptic number.

101122122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122122012 is an abundant number, since it is smaller than the sum of its proper divisors (147419752548).

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

101122122012 is a wasteful number, since it uses less digits than its factorization.

101122122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306722 (or 306720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122122012 its reverse (210221221101), we get a palindrome (311343343113).

The spelling of 101122122012 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, twelve".