102123100113 has 16 divisors (see below), whose sum is σ = 136695738816. Its totient is φ = 67816442880.

The previous prime is 102123100097. The next prime is 102123100117. The reversal of 102123100113 is 311001321201.

It is a happy number.

It is not a de Polignac number, because 102123100113 - 2⁴ = 102123100097 is a prime.

It is a super-2 number, since 2×102123100113² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102123100092 and 102123100101.

It is not an unprimeable number, because it can be changed into a prime (102123100117) 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, 2438793 + ... + 2480313.

It is an arithmetic number, because the mean of its divisors is an integer number (8543483676).

Almost surely, 2^102123100113 is an apocalyptic number.

It is an amenable number.

102123100113 is a deficient number, since it is larger than the sum of its proper divisors (34572638703).

102123100113 is a wasteful number, since it uses less digits than its factorization.

102123100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44704.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 102123100113 its reverse (311001321201), we get a palindrome (413124421314).

The spelling of 102123100113 in words is "one hundred two billion, one hundred twenty-three million, one hundred thousand, one hundred thirteen".