102000022210013 has 2 divisors, whose sum is σ = 102000022210014. Its totient is φ = 102000022210012.

The previous prime is 102000022209983. The next prime is 102000022210043. The reversal of 102000022210013 is 310012220000201.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (102000022209983) and next prime (102000022210043).

It can be written as a sum of positive squares in only one way, i.e., 100460569092004 + 1539453118009 = 10023002^2 + 1240747^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000022210013 - 2¹⁰ = 102000022208989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102000022210013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102000022210043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000011105006 + 51000011105007.

It is an arithmetic number, because the mean of its divisors is an integer number (51000011105007).

Almost surely, 2^{102000022210013} is an apocalyptic number.

It is an amenable number.

102000022210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000022210013 is an equidigital number, since it uses as much as digits as its factorization.

102000022210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102000022210013 its reverse (310012220000201), we get a palindrome (412012242210214).

The spelling of 102000022210013 in words is "one hundred two trillion, twenty-two million, two hundred ten thousand, thirteen".