2022102122013 has 24 divisors (see below), whose sum is σ = 2951372264568. Its totient is φ = 1333968556032.

The previous prime is 2022102121993. The next prime is 2022102122017. The reversal of 2022102122013 is 3102212012202.

2022102122013 is a `hidden beast` number, since 202 + 210 + 21 + 220 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98227708569 + 1923874413444 = 313413^2 + 1387038^2 .

It is not a de Polignac number, because 2022102122013 - 2¹³ = 2022102113821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022102122017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5709495 + ... + 6053307.

It is an arithmetic number, because the mean of its divisors is an integer number (122973844357).

Almost surely, 2^{2022102122013} is an apocalyptic number.

It is an amenable number.

2022102122013 is a deficient number, since it is larger than the sum of its proper divisors (929270142555).

2022102122013 is a wasteful number, since it uses less digits than its factorization.

2022102122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350653 (or 350650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2022102122013 its reverse (3102212012202), we get a palindrome (5124314134215).

The spelling of 2022102122013 in words is "two trillion, twenty-two billion, one hundred two million, one hundred twenty-two thousand, thirteen".