100131221112 has 64 divisors (see below), whose sum is σ = 278880084000. Its totient is φ = 29747203584.

The previous prime is 100131221101. The next prime is 100131221117. The reversal of 100131221112 is 211122131001.

It is a super-2 number, since 2×100131221112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131221091 and 100131221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131221117) by changing a digit.

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, 5524287 + ... + 5542382.

Almost surely, 2^100131221112 is an apocalyptic number.

100131221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100131221112 is an abundant number, since it is smaller than the sum of its proper divisors (178748862888).

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

100131221112 is a wasteful number, since it uses less digits than its factorization.

100131221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066720 (or 11066716 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 100131221112 its reverse (211122131001), we get a palindrome (311253352113).

The spelling of 100131221112 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred twelve".