100010002133100 has 72 divisors (see below), whose sum is σ = 289363285220688. Its totient is φ = 26669240595200.

The previous prime is 100010002133087. The next prime is 100010002133137. The reversal of 100010002133100 is 1331200010001.

100010002133100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100010002133100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 150026530 + ... + 150691670.

It is an arithmetic number, because the mean of its divisors is an integer number (4018934516954).

Almost surely, 2^{100010002133100} is an apocalyptic number.

100010002133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010002133100 is an abundant number, since it is smaller than the sum of its proper divisors (189353283087588).

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

100010002133100 is a wasteful number, since it uses less digits than its factorization.

100010002133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166355 (or 1166348 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100010002133100 its reverse (1331200010001), we get a palindrome (101341202143101).

The spelling of 100010002133100 in words is "one hundred trillion, ten billion, two million, one hundred thirty-three thousand, one hundred".