100401311525 has 6 divisors (see below), whose sum is σ = 124497626322. Its totient is φ = 80321049200.

The previous prime is 100401311519. The next prime is 100401311531. The reversal of 100401311525 is 525113104001.

It is an interprime number because it is at equal distance from previous prime (100401311519) and next prime (100401311531).

It can be written as a sum of positive squares in 3 ways, for example, as 3619345921 + 96781965604 = 60161^2 + 311098^2 .

It is not a de Polignac number, because 100401311525 - 2¹² = 100401307429 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100401311525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2008026206 + ... + 2008026255.

It is an arithmetic number, because the mean of its divisors is an integer number (20749604387).

Almost surely, 2^100401311525 is an apocalyptic number.

It is an amenable number.

100401311525 is a deficient number, since it is larger than the sum of its proper divisors (24096314797).

100401311525 is an equidigital number, since it uses as much as digits as its factorization.

100401311525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016052471 (or 4016052466 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 100401311525 its reverse (525113104001), we get a palindrome (625514415526).

The spelling of 100401311525 in words is "one hundred billion, four hundred one million, three hundred eleven thousand, five hundred twenty-five".