10101564401 has 4 divisors (see below), whose sum is σ = 10102080000. Its totient is φ = 10101048804.

The previous prime is 10101564391. The next prime is 10101564457. The reversal of 10101564401 is 10446510101.

It is a happy number.

10101564401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10446510101 = 6709 ⋅1557089.

It is a cyclic number.

It is not a de Polignac number, because 10101564401 - 2¹⁰ = 10101563377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101564481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 227201 + ... + 267998.

It is an arithmetic number, because the mean of its divisors is an integer number (2525520000).

Almost surely, 2^10101564401 is an apocalyptic number.

It is an amenable number.

10101564401 is a deficient number, since it is larger than the sum of its proper divisors (515599).

10101564401 is an equidigital number, since it uses as much as digits as its factorization.

10101564401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515598.

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 10101564401 in words is "ten billion, one hundred one million, five hundred sixty-four thousand, four hundred one".