2122001012013 has 16 divisors (see below), whose sum is σ = 2856228341760. Its totient is φ = 1401224690736.

The previous prime is 2122001011967. The next prime is 2122001012017. The reversal of 2122001012013 is 3102101002212.

It is not a de Polignac number, because 2122001012013 - 2²⁵ = 2121967457581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122001011983 and 2122001012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122001012017) 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, 1524678 + ... + 2562936.

It is an arithmetic number, because the mean of its divisors is an integer number (178514271360).

Almost surely, 2^{2122001012013} is an apocalyptic number.

It is an amenable number.

2122001012013 is a deficient number, since it is larger than the sum of its proper divisors (734227329747).

2122001012013 is a wasteful number, since it uses less digits than its factorization.

2122001012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044736.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2122001012013 its reverse (3102101002212), we get a palindrome (5224102014225).

The spelling of 2122001012013 in words is "two trillion, one hundred twenty-two billion, one million, twelve thousand, thirteen".