2102202220113 has 24 divisors (see below), whose sum is σ = 3081952699488. Its totient is φ = 1380498178752.

The previous prime is 2102202220061. The next prime is 2102202220123. The reversal of 2102202220113 is 3110222022012.

2102202220113 is a `hidden beast` number, since 210 + 220 + 2 + 220 + 1 + 13 = 666.

It is not a de Polignac number, because 2102202220113 - 2⁸ = 2102202219857 is a prime.

It is a super-2 number, since 2×2102202220113² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102202220123) 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, 21724245 + ... + 21820797.

It is an arithmetic number, because the mean of its divisors is an integer number (128414695812).

Almost surely, 2^{2102202220113} is an apocalyptic number.

It is an amenable number.

2102202220113 is a deficient number, since it is larger than the sum of its proper divisors (979750479375).

2102202220113 is a wasteful number, since it uses less digits than its factorization.

2102202220113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132733 (or 132730 counting only the distinct ones).

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

Adding to 2102202220113 its reverse (3110222022012), we get a palindrome (5212424242125).

The spelling of 2102202220113 in words is "two trillion, one hundred two billion, two hundred two million, two hundred twenty thousand, one hundred thirteen".