22102300102113 has 48 divisors (see below), whose sum is σ = 39885008557056. Its totient is φ = 11458137748320.

The previous prime is 22102300102109. The next prime is 22102300102187. The reversal of 22102300102113 is 31120100320122.

22102300102113 is a `hidden beast` number, since 2 + 210 + 230 + 0 + 10 + 211 + 3 = 666.

It is not a de Polignac number, because 22102300102113 - 2² = 22102300102109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22102300902113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32407531 + ... + 33082512.

It is an arithmetic number, because the mean of its divisors is an integer number (830937678272).

Almost surely, 2^{22102300102113} is an apocalyptic number.

It is an amenable number.

22102300102113 is a deficient number, since it is larger than the sum of its proper divisors (17782708454943).

22102300102113 is a wasteful number, since it uses less digits than its factorization.

22102300102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65490554 (or 65490551 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22102300102113 its reverse (31120100320122), we get a palindrome (53222400422235).

The spelling of 22102300102113 in words is "twenty-two trillion, one hundred two billion, three hundred million, one hundred two thousand, one hundred thirteen".