10010400013201 has 32 divisors (see below), whose sum is σ = 11826992393216. Its totient is φ = 8294987736000.

The previous prime is 10010400013177. The next prime is 10010400013213. The reversal of 10010400013201 is 10231000401001.

10010400013201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010400013201 - 2⁵ = 10010400013169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010400013261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11060086 + ... + 11930896.

It is an arithmetic number, because the mean of its divisors is an integer number (369593512288).

Almost surely, 2^{10010400013201} is an apocalyptic number.

It is an amenable number.

10010400013201 is a deficient number, since it is larger than the sum of its proper divisors (1816592380015).

10010400013201 is a wasteful number, since it uses less digits than its factorization.

10010400013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871253.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10010400013201 its reverse (10231000401001), we get a palindrome (20241400414202).

The spelling of 10010400013201 in words is "ten trillion, ten billion, four hundred million, thirteen thousand, two hundred one".