100401324125 has 16 divisors (see below), whose sum is σ = 129621576240. Its totient is φ = 77551364800.

The previous prime is 100401324113. The next prime is 100401324143. The reversal of 100401324125 is 521423104001.

It can be written as a sum of positive squares in 8 ways, for example, as 27968214169 + 72433109956 = 167237^2 + 269134^2 .

It is not a de Polignac number, because 100401324125 - 2¹⁶ = 100401258589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100401324125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13844834 + ... + 13852083.

It is an arithmetic number, because the mean of its divisors is an integer number (8101348515).

Almost surely, 2^100401324125 is an apocalyptic number.

It is an amenable number.

100401324125 is a deficient number, since it is larger than the sum of its proper divisors (29220252115).

100401324125 is an equidigital number, since it uses as much as digits as its factorization.

100401324125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27696961 (or 27696951 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 100401324125 its reverse (521423104001), we get a palindrome (621824428126).

The spelling of 100401324125 in words is "one hundred billion, four hundred one million, three hundred twenty-four thousand, one hundred twenty-five".