102000113121 has 24 divisors (see below), whose sum is σ = 142213833216. Its totient is φ = 65023631200.

The previous prime is 102000113107. The next prime is 102000113153. The reversal of 102000113121 is 121311000201.

It is not a de Polignac number, because 102000113121 - 2¹⁹ = 101999588833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102000113097 and 102000113106.

It is not an unprimeable number, because it can be changed into a prime (102000113521) 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, 6551296 + ... + 6566846.

It is an arithmetic number, because the mean of its divisors is an integer number (5925576384).

Almost surely, 2^102000113121 is an apocalyptic number.

It is an amenable number.

102000113121 is a deficient number, since it is larger than the sum of its proper divisors (40213720095).

102000113121 is a wasteful number, since it uses less digits than its factorization.

102000113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19733 (or 19710 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102000113121 its reverse (121311000201), we get a palindrome (223311113322).

The spelling of 102000113121 in words is "one hundred two billion, one hundred thirteen thousand, one hundred twenty-one".