100120133212100 has 72 divisors (see below), whose sum is σ = 217884033362688. Its totient is φ = 39933191433600.

The previous prime is 100120133212061. The next prime is 100120133212117. The reversal of 100120133212100 is 1212331021001.

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, 200685965 + ... + 201184235.

Almost surely, 2^{100120133212100} is an apocalyptic number.

100120133212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120133212100 is an abundant number, since it is smaller than the sum of its proper divisors (117763900150588).

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

100120133212100 is a wasteful number, since it uses less digits than its factorization.

100120133212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504045 (or 504038 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100120133212100 its reverse (1212331021001), we get a palindrome (101332464233101).

The spelling of 100120133212100 in words is "one hundred trillion, one hundred twenty billion, one hundred thirty-three million, two hundred twelve thousand, one hundred".