10364640442201 has 16 divisors (see below), whose sum is σ = 10868341792768. Its totient is φ = 9871790662800.

The previous prime is 10364640442193. The next prime is 10364640442213. The reversal of 10364640442201 is 10224404646301.

It is a cyclic number.

It is not a de Polignac number, because 10364640442201 - 2³ = 10364640442193 is a prime.

It is a super-2 number, since 2×10364640442201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10364640442271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110656 + ... + 4554286.

It is an arithmetic number, because the mean of its divisors is an integer number (679271362048).

Almost surely, 2^{10364640442201} is an apocalyptic number.

It is an amenable number.

10364640442201 is a deficient number, since it is larger than the sum of its proper divisors (503701350567).

10364640442201 is a wasteful number, since it uses less digits than its factorization.

10364640442201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444852.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 10364640442201 in words is "ten trillion, three hundred sixty-four billion, six hundred forty million, four hundred forty-two thousand, two hundred one".