102110000113 has 32 divisors (see below), whose sum is σ = 113784422400. Its totient is φ = 90858456000.

The previous prime is 102110000093. The next prime is 102110000119. The reversal of 102110000113 is 311000011201.

It is a cyclic number.

It is not a de Polignac number, because 102110000113 - 2¹⁷ = 102109869041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102110000113.

It is not an unprimeable number, because it can be changed into a prime (102110000119) 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 31 ways as a sum of consecutive naturals, for example, 52336288 + ... + 52338238.

It is an arithmetic number, because the mean of its divisors is an integer number (3555763200).

Almost surely, 2^102110000113 is an apocalyptic number.

It is an amenable number.

102110000113 is a deficient number, since it is larger than the sum of its proper divisors (11674422287).

102110000113 is a wasteful number, since it uses less digits than its factorization.

102110000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 102110000113 its reverse (311000011201), we get a palindrome (413110011314).

The spelling of 102110000113 in words is "one hundred two billion, one hundred ten million, one hundred thirteen", and thus it is an aban number.