22013213102120 has 32 divisors (see below), whose sum is σ = 52443242980200. Its totient is φ = 8287327285248.

The previous prime is 22013213102081. The next prime is 22013213102129. The reversal of 22013213102120 is 2120131231022.

It can be written as a sum of positive squares in 4 ways, for example, as 21997619586244 + 15593515876 = 4690162^2 + 124874^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22013213102092 and 22013213102101.

It is not an unprimeable number, because it can be changed into a prime (22013213102129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16186185425 + ... + 16186186784.

Almost surely, 2^{22013213102120} is an apocalyptic number.

22013213102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22013213102120 is an abundant number, since it is smaller than the sum of its proper divisors (30430029878080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22013213102120 is a wasteful number, since it uses less digits than its factorization.

22013213102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32372372237 (or 32372372233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22013213102120 its reverse (2120131231022), we get a palindrome (24133344333142).

The spelling of 22013213102120 in words is "twenty-two trillion, thirteen billion, two hundred thirteen million, one hundred two thousand, one hundred twenty".