101122112011212 has 72 divisors (see below), whose sum is σ = 258159448747200. Its totient is φ = 33372216960768.

The previous prime is 101122112011199. The next prime is 101122112011279. The reversal of 101122112011212 is 212110211221101.

It is a happy number.

101122112011212 is a `hidden beast` number, since 101 + 1 + 221 + 120 + 11 + 212 = 666.

It is a super-2 number, since 2×101122112011212² (a number of 29 digits) contains 22 as substring.

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, 4938148 + ... + 15054219.

Almost surely, 2^{101122112011212} is an apocalyptic number.

101122112011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122112011212 is an abundant number, since it is smaller than the sum of its proper divisors (157037336735988).

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

101122112011212 is a wasteful number, since it uses less digits than its factorization.

101122112011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19993775 (or 19993770 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101122112011212 its reverse (212110211221101), we get a palindrome (313232323232313).

The spelling of 101122112011212 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twelve million, eleven thousand, two hundred twelve".