101122110012 has 96 divisors (see below), whose sum is σ = 299159562240. Its totient is φ = 25820291520.

The previous prime is 101122109939. The next prime is 101122110091. The reversal of 101122110012 is 210011221101.

It is a super-2 number, since 2×101122110012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101122110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872938 + ... + 981969.

It is an arithmetic number, because the mean of its divisors is an integer number (3116245440).

Almost surely, 2^101122110012 is an apocalyptic number.

101122110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122110012 is an abundant number, since it is smaller than the sum of its proper divisors (198037452228).

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

101122110012 is a wasteful number, since it uses less digits than its factorization.

101122110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854991 (or 1854989 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122110012 its reverse (210011221101), we get a palindrome (311133331113).

The spelling of 101122110012 in words is "one hundred one billion, one hundred twenty-two million, one hundred ten thousand, twelve".