102012102111113 has 16 divisors (see below), whose sum is σ = 108054582488640. Its totient is φ = 95974266009600.

The previous prime is 102012102111047. The next prime is 102012102111149. The reversal of 102012102111113 is 311111201210201.

It is a cyclic number.

It is not a de Polignac number, because 102012102111113 - 2¹⁰ = 102012102110089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102012102111091 and 102012102111100.

It is not an unprimeable number, because it can be changed into a prime (102012102111163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1381885118 + ... + 1381958936.

It is an arithmetic number, because the mean of its divisors is an integer number (6753411405540).

Almost surely, 2^{102012102111113} is an apocalyptic number.

It is an amenable number.

102012102111113 is a deficient number, since it is larger than the sum of its proper divisors (6042480377527).

102012102111113 is a wasteful number, since it uses less digits than its factorization.

102012102111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104168.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 102012102111113 its reverse (311111201210201), we get a palindrome (413123303321314).

The spelling of 102012102111113 in words is "one hundred two trillion, twelve billion, one hundred two million, one hundred eleven thousand, one hundred thirteen".