100123003212100 has 72 divisors (see below), whose sum is σ = 247323605151168. Its totient is φ = 34825392412800.

The previous prime is 100123003212017. The next prime is 100123003212229. The reversal of 100123003212100 is 1212300321001.

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, 1978690179 + ... + 1978740778.

It is an arithmetic number, because the mean of its divisors is an integer number (3435050071544).

Almost surely, 2^{100123003212100} is an apocalyptic number.

100123003212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100123003212100 is an abundant number, since it is smaller than the sum of its proper divisors (147200601939068).

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

100123003212100 is a wasteful number, since it uses less digits than its factorization.

100123003212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3957431005 (or 3957430998 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100123003212100 its reverse (1212300321001), we get a palindrome (101335303533101).

The spelling of 100123003212100 in words is "one hundred trillion, one hundred twenty-three billion, three million, two hundred twelve thousand, one hundred".