101122221012012 has 72 divisors (see below), whose sum is σ = 259233922190880. Its totient is φ = 33230191357440.

The previous prime is 101122221011969. The next prime is 101122221012031. The reversal of 101122221012012 is 210210122221101.

101122221012012 is a `hidden beast` number, since 101 + 1 + 222 + 210 + 120 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33181914 + ... + 36101022.

It is an arithmetic number, because the mean of its divisors is an integer number (3600471141540).

Almost surely, 2^{101122221012012} is an apocalyptic number.

101122221012012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122221012012 is an abundant number, since it is smaller than the sum of its proper divisors (158111701178868).

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

101122221012012 is a wasteful number, since it uses less digits than its factorization.

101122221012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932743 (or 2932738 counting only the distinct ones).

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

Adding to 101122221012012 its reverse (210210122221101), we get a palindrome (311332343233113).

The spelling of 101122221012012 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, twelve thousand, twelve".