2116102113 has 24 divisors (see below), whose sum is σ = 3143816000. Its totient is φ = 1370589984.

The previous prime is 2116102099. The next prime is 2116102133. The reversal of 2116102113 is 3112016112.

2116102113 is a `hidden beast` number, since 21 + 1 + 610 + 21 + 13 = 666.

2116102113 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2116102113 - 2¹⁰ = 2116101089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2116102133) 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, 241788 + ... + 250386.

Almost surely, 2^2116102113 is an apocalyptic number.

It is an amenable number.

2116102113 is a deficient number, since it is larger than the sum of its proper divisors (1027713887).

2116102113 is a wasteful number, since it uses less digits than its factorization.

2116102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9381 (or 9378 counting only the distinct ones).

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

The square root of 2116102113 is about 46001.1099105228. The cubic root of 2116102113 is about 1283.8438556594.

Adding to 2116102113 its reverse (3112016112), we get a palindrome (5228118225).

The spelling of 2116102113 in words is "two billion, one hundred sixteen million, one hundred two thousand, one hundred thirteen".