102113221113 has 12 divisors (see below), whose sum is σ = 147509025508. Its totient is φ = 68069872800.

The previous prime is 102113221103. The next prime is 102113221127. The reversal of 102113221113 is 311122311201.

It can be written as a sum of positive squares in 2 ways, for example, as 68825948409 + 33287272704 = 262347^2 + 182448^2 .

It is not a de Polignac number, because 102113221113 - 2⁵ = 102113221081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102113221103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350470 + ... + 571887.

Almost surely, 2^102113221113 is an apocalyptic number.

It is an amenable number.

102113221113 is a deficient number, since it is larger than the sum of its proper divisors (45395804395).

102113221113 is a wasteful number, since it uses less digits than its factorization.

102113221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934664 (or 934661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102113221113 its reverse (311122311201), we get a palindrome (413235532314).

The spelling of 102113221113 in words is "one hundred two billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred thirteen".