102103123113 has 24 divisors (see below), whose sum is σ = 150316213320. Its totient is φ = 66761660160.

The previous prime is 102103123103. The next prime is 102103123181. The reversal of 102103123113 is 311321301201.

It can be written as a sum of positive squares in 4 ways, for example, as 20999487744 + 81103635369 = 144912^2 + 284787^2 .

It is not a de Polignac number, because 102103123113 - 2⁴ = 102103123097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102103123103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1425133 + ... + 1495061.

It is an arithmetic number, because the mean of its divisors is an integer number (6263175555).

Almost surely, 2^102103123113 is an apocalyptic number.

It is an amenable number.

102103123113 is a deficient number, since it is larger than the sum of its proper divisors (48213090207).

102103123113 is a wasteful number, since it uses less digits than its factorization.

102103123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73049 (or 73046 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102103123113 its reverse (311321301201), we get a palindrome (413424424314).

The spelling of 102103123113 in words is "one hundred two billion, one hundred three million, one hundred twenty-three thousand, one hundred thirteen".