102000022112013 has 16 divisors (see below), whose sum is σ = 138233534112576. Its totient is φ = 66883326877440.

The previous prime is 102000022112003. The next prime is 102000022112033. The reversal of 102000022112013 is 310211220000201.

It is not a de Polignac number, because 102000022112013 - 2⁹ = 102000022111501 is a prime.

It is a super-2 number, since 2×102000022112013² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102000022111983 and 102000022112001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000022112003) 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, 1694956 + ... + 14383077.

It is an arithmetic number, because the mean of its divisors is an integer number (8639595882036).

Almost surely, 2^{102000022112013} is an apocalyptic number.

It is an amenable number.

102000022112013 is a deficient number, since it is larger than the sum of its proper divisors (36233512000563).

102000022112013 is a wasteful number, since it uses less digits than its factorization.

102000022112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16112764.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102000022112013 its reverse (310211220000201), we get a palindrome (412211242112214).

The spelling of 102000022112013 in words is "one hundred two trillion, twenty-two million, one hundred twelve thousand, thirteen".