100133002112232 has 128 divisors (see below), whose sum is σ = 251119419465600. Its totient is φ = 33272976642048.

The previous prime is 100133002112203. The next prime is 100133002112239. The reversal of 100133002112232 is 232211200331001.

It is a super-2 number, since 2×100133002112232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100133002112199 and 100133002112208.

It is not an unprimeable number, because it can be changed into a prime (100133002112239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33863036098 + ... + 33863039054.

It is an arithmetic number, because the mean of its divisors is an integer number (1961870464575).

Almost surely, 2^{100133002112232} is an apocalyptic number.

100133002112232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133002112232 is an abundant number, since it is smaller than the sum of its proper divisors (150986417353368).

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

100133002112232 is a wasteful number, since it uses less digits than its factorization.

100133002112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6511 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100133002112232 its reverse (232211200331001), we get a palindrome (332344202443233).

The spelling of 100133002112232 in words is "one hundred trillion, one hundred thirty-three billion, two million, one hundred twelve thousand, two hundred thirty-two".