102010000113 has 18 divisors (see below), whose sum is σ = 171404558754. Its totient is φ = 58291428384.

The previous prime is 102010000111. The next prime is 102010000133. The reversal of 102010000113 is 311000010201.

It can be written as a sum of positive squares in only one way, i.e., 94480620129 + 7529379984 = 307377^2 + 86772^2 .

It is not a de Polignac number, because 102010000113 - 2¹ = 102010000111 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102010000095 and 102010000104.

It is not an unprimeable number, because it can be changed into a prime (102010000111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115657156 + ... + 115658037.

Almost surely, 2^102010000113 is an apocalyptic number.

It is an amenable number.

102010000113 is a deficient number, since it is larger than the sum of its proper divisors (69394558641).

102010000113 is a wasteful number, since it uses less digits than its factorization.

102010000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231315213 (or 231315203 counting only the distinct ones).

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

Adding to 102010000113 its reverse (311000010201), we get a palindrome (413010010314).

The spelling of 102010000113 in words is "one hundred two billion, ten million, one hundred thirteen", and thus it is an aban number.