100133102112 has 48 divisors (see below), whose sum is σ = 262929330720. Its totient is φ = 33367549952.

The previous prime is 100133102093. The next prime is 100133102119. The reversal of 100133102112 is 211201331001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100133102091 and 100133102100.

It is not an unprimeable number, because it can be changed into a prime (100133102119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162064 + ... + 475952.

It is an arithmetic number, because the mean of its divisors is an integer number (5477694390).

Almost surely, 2^100133102112 is an apocalyptic number.

100133102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133102112 is an abundant number, since it is smaller than the sum of its proper divisors (162796228608).

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

100133102112 is a wasteful number, since it uses less digits than its factorization.

100133102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317225 (or 317217 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100133102112 its reverse (211201331001), we get a palindrome (311334433113).

The spelling of 100133102112 in words is "one hundred billion, one hundred thirty-three million, one hundred two thousand, one hundred twelve".