22010121120113 has 16 divisors (see below), whose sum is σ = 27153201473280. Its totient is φ = 17423304271296.

The previous prime is 22010121120103. The next prime is 22010121120133. The reversal of 22010121120113 is 31102112101022.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-22010121120113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22010121120091 and 22010121120100.

It is not an unprimeable number, because it can be changed into a prime (22010121120103) 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 15 ways as a sum of consecutive naturals, for example, 2357044070 + ... + 2357053407.

It is an arithmetic number, because the mean of its divisors is an integer number (1697075092080).

Almost surely, 2^{22010121120113} is an apocalyptic number.

22010121120113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22010121120113 is a deficient number, since it is larger than the sum of its proper divisors (5143080353167).

22010121120113 is a wasteful number, since it uses less digits than its factorization.

22010121120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4714097536.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 22010121120113 its reverse (31102112101022), we get a palindrome (53112233221135).

The spelling of 22010121120113 in words is "twenty-two trillion, ten billion, one hundred twenty-one million, one hundred twenty thousand, one hundred thirteen".