10201023313201 has 24 divisors (see below), whose sum is σ = 12235152419424. Its totient is φ = 8475197552640.

The previous prime is 10201023313109. The next prime is 10201023313219. The reversal of 10201023313201 is 10231332010201.

It is not a de Polignac number, because 10201023313201 - 2¹⁵ = 10201023280433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201023316201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18202960 + ... + 18754993.

It is an arithmetic number, because the mean of its divisors is an integer number (509798017476).

Almost surely, 2^{10201023313201} is an apocalyptic number.

It is an amenable number.

10201023313201 is a deficient number, since it is larger than the sum of its proper divisors (2034129106223).

10201023313201 is a wasteful number, since it uses less digits than its factorization.

10201023313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36958141 (or 36958134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10201023313201 its reverse (10231332010201), we get a palindrome (20432355323402).

The spelling of 10201023313201 in words is "ten trillion, two hundred one billion, twenty-three million, three hundred thirteen thousand, two hundred one".