102012122013 has 16 divisors (see below), whose sum is σ = 137688707520. Its totient is φ = 67172211584.

The previous prime is 102012121999. The next prime is 102012122041. The reversal of 102012122013 is 310221210201.

It is a cyclic number.

It is not a de Polignac number, because 102012122013 - 2¹⁶ = 102012056477 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102012121983 and 102012122001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012122063) 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, 1010833 + ... + 1107161.

It is an arithmetic number, because the mean of its divisors is an integer number (8605544220).

Almost surely, 2^102012122013 is an apocalyptic number.

It is an amenable number.

102012122013 is a deficient number, since it is larger than the sum of its proper divisors (35676585507).

102012122013 is an equidigital number, since it uses as much as digits as its factorization.

102012122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100668.

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

Adding to 102012122013 its reverse (310221210201), we get a palindrome (412233332214).

The spelling of 102012122013 in words is "one hundred two billion, twelve million, one hundred twenty-two thousand, thirteen".