102212012013 has 16 divisors (see below), whose sum is σ = 138739982976. Its totient is φ = 66920161280.

The previous prime is 102212012009. The next prime is 102212012017. The reversal of 102212012013 is 310210212201.

It is an interprime number because it is at equal distance from previous prime (102212012009) and next prime (102212012017).

It is a cyclic number.

It is not a de Polignac number, because 102212012013 - 2² = 102212012009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212011983 and 102212012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878856 + ... + 988337.

It is an arithmetic number, because the mean of its divisors is an integer number (8671248936).

Almost surely, 2^102212012013 is an apocalyptic number.

It is an amenable number.

102212012013 is a deficient number, since it is larger than the sum of its proper divisors (36527970963).

102212012013 is a wasteful number, since it uses less digits than its factorization.

102212012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867524.

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

Adding to 102212012013 its reverse (310210212201), we get a palindrome (412422224214).

The spelling of 102212012013 in words is "one hundred two billion, two hundred twelve million, twelve thousand, thirteen".