2122111220013 has 6 divisors (see below), whose sum is σ = 3065271762254. Its totient is φ = 1414740813336.

The previous prime is 2122111219973. The next prime is 2122111220029. The reversal of 2122111220013 is 3100221112212.

It can be written as a sum of positive squares in only one way, i.e., 2074299899049 + 47811320964 = 1440243^2 + 218658^2 .

It is not a de Polignac number, because 2122111220013 - 2¹⁰ = 2122111218989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122111220113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117895067770 + ... + 117895067787.

Almost surely, 2^{2122111220013} is an apocalyptic number.

It is an amenable number.

2122111220013 is a deficient number, since it is larger than the sum of its proper divisors (943160542241).

2122111220013 is a wasteful number, since it uses less digits than its factorization.

2122111220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235790135563 (or 235790135560 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2122111220013 its reverse (3100221112212), we get a palindrome (5222332332225).

The spelling of 2122111220013 in words is "two trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, thirteen".