10201322310201 has 48 divisors (see below), whose sum is σ = 17179457375808. Its totient is φ = 5764553395200.

The previous prime is 10201322310197. The next prime is 10201322310211.

10201322310201 is a `hidden beast` number, since 1 + 0 + 20 + 132 + 2 + 310 + 201 = 666.

10201322310201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10201322310201 - 2² = 10201322310197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201322310211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28144180 + ... + 28504341.

It is an arithmetic number, because the mean of its divisors is an integer number (357905361996).

Almost surely, 2^{10201322310201} is an apocalyptic number.

10201322310201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10201322310201 is a deficient number, since it is larger than the sum of its proper divisors (6978135065607).

10201322310201 is a wasteful number, since it uses less digits than its factorization.

10201322310201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56648662 (or 56648659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 1020132 and 2310201, that added together give a palindrome (3330333).

The spelling of 10201322310201 in words is "ten trillion, two hundred one billion, three hundred twenty-two million, three hundred ten thousand, two hundred one".