22120020100113 has 32 divisors (see below), whose sum is σ = 32910926173440. Its totient is φ = 13121488961280.

The previous prime is 22120020100109. The next prime is 22120020100153. The reversal of 22120020100113 is 31100102002122.

It is not a de Polignac number, because 22120020100113 - 2² = 22120020100109 is a prime.

It is a super-2 number, since 2×22120020100113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22120020100092 and 22120020100101.

It is not an unprimeable number, because it can be changed into a prime (22120020100153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15259333 + ... + 16645938.

It is an arithmetic number, because the mean of its divisors is an integer number (1028466442920).

Almost surely, 2^{22120020100113} is an apocalyptic number.

It is an amenable number.

22120020100113 is a deficient number, since it is larger than the sum of its proper divisors (10790906073327).

22120020100113 is a wasteful number, since it uses less digits than its factorization.

22120020100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31905929.

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

Adding to 22120020100113 its reverse (31100102002122), we get a palindrome (53220122102235).

The spelling of 22120020100113 in words is "twenty-two trillion, one hundred twenty billion, twenty million, one hundred thousand, one hundred thirteen".