100125513221200 has 120 divisors (see below), whose sum is σ = 248319790016256. Its totient is φ = 38756933760000.

The previous prime is 100125513221143. The next prime is 100125513221257. The reversal of 100125513221200 is 2122315521001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100125513221143) and next prime (100125513221257).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 410479275 + ... + 410723125.

Almost surely, 2^{100125513221200} is an apocalyptic number.

100125513221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100125513221200 is an abundant number, since it is smaller than the sum of its proper divisors (148194276795056).

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

100125513221200 is a wasteful number, since it uses less digits than its factorization.

100125513221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277013 (or 277002 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 100125513221200 its reverse (2122315521001), we get a palindrome (102247828742201).

The spelling of 100125513221200 in words is "one hundred trillion, one hundred twenty-five billion, five hundred thirteen million, two hundred twenty-one thousand, two hundred".