101314400404 has 48 divisors (see below), whose sum is σ = 214586451072. Its totient is φ = 40859016192.

The previous prime is 101314400389. The next prime is 101314400419. The reversal of 101314400404 is 404004413101.

101314400404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101314400389) and next prime (101314400419).

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, 3234064 + ... + 3265240.

It is an arithmetic number, because the mean of its divisors is an integer number (4470551064).

Almost surely, 2^101314400404 is an apocalyptic number.

101314400404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101314400404 is an abundant number, since it is smaller than the sum of its proper divisors (113272050668).

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

101314400404 is a wasteful number, since it uses less digits than its factorization.

101314400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38032 (or 38030 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 101314400404 its reverse (404004413101), we get a palindrome (505318813505).

The spelling of 101314400404 in words is "one hundred one billion, three hundred fourteen million, four hundred thousand, four hundred four".