10213122131201 has 32 divisors (see below), whose sum is σ = 11328431385600. Its totient is φ = 9130328440000.

The previous prime is 10213122131159. The next prime is 10213122131213.

10213122131201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10213122131201 - 2⁶ = 10213122131137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10213122151201) 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 31 ways as a sum of consecutive naturals, for example, 166820486 + ... + 166881696.

It is an arithmetic number, because the mean of its divisors is an integer number (354013480800).

Almost surely, 2^{10213122131201} is an apocalyptic number.

10213122131201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213122131201 is a deficient number, since it is larger than the sum of its proper divisors (1115309254399).

10213122131201 is a wasteful number, since it uses less digits than its factorization.

10213122131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62341.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1021312 and 2131201, that added together give a palindrome (3152513).

The spelling of 10213122131201 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred one".