102010113 has 24 divisors (see below), whose sum is σ = 150591168. Its totient is φ = 66524832.

The previous prime is 102010099. The next prime is 102010123. The reversal of 102010113 is 311010201.

It is not a de Polignac number, because 102010113 - 2⁹ = 102009601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102010095 and 102010104.

It is not an unprimeable number, because it can be changed into a prime (102010123) 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, 100195 + ... + 101207.

It is an arithmetic number, because the mean of its divisors is an integer number (6274632).

Almost surely, 2^102010113 is an apocalyptic number.

It is an amenable number.

102010113 is a deficient number, since it is larger than the sum of its proper divisors (48581055).

102010113 is a wasteful number, since it uses less digits than its factorization.

102010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 102010113 is about 10100.0055940579. The cubic root of 102010113 is about 467.2483139136.

Adding to 102010113 its reverse (311010201), we get a palindrome (413020314).

The spelling of 102010113 in words is "one hundred two million, ten thousand, one hundred thirteen".