2012102022013 has 2 divisors, whose sum is σ = 2012102022014. Its totient is φ = 2012102022012.

The previous prime is 2012102021987. The next prime is 2012102022031. The reversal of 2012102022013 is 3102202012102.

It is a happy number.

Together with next prime (2012102022031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2000080434564 + 12021587449 = 1414242^2 + 109643^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2012102022013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012102022613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006051011006 + 1006051011007.

It is an arithmetic number, because the mean of its divisors is an integer number (1006051011007).

Almost surely, 2^{2012102022013} is an apocalyptic number.

It is an amenable number.

2012102022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012102022013 is an equidigital number, since it uses as much as digits as its factorization.

2012102022013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2012102022013 its reverse (3102202012102), we get a palindrome (5114304034115).

The spelling of 2012102022013 in words is "two trillion, twelve billion, one hundred two million, twenty-two thousand, thirteen".