100133100020 has 12 divisors (see below), whose sum is σ = 210279510084. Its totient is φ = 40053240000.

The previous prime is 100133100017. The next prime is 100133100073. The reversal of 100133100020 is 20001331001.

It can be written as a sum of positive squares in 2 ways, for example, as 31234199824 + 68898900196 = 176732^2 + 262486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100133099974 and 100133100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2503327481 + ... + 2503327520.

It is an arithmetic number, because the mean of its divisors is an integer number (17523292507).

Almost surely, 2^100133100020 is an apocalyptic number.

100133100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133100020 is an abundant number, since it is smaller than the sum of its proper divisors (110146410064).

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

100133100020 is a wasteful number, since it uses less digits than its factorization.

100133100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006655010 (or 5006655008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 100133100020 its reverse (20001331001), we get a palindrome (120134431021).

The spelling of 100133100020 in words is "one hundred billion, one hundred thirty-three million, one hundred thousand, twenty".