102222010110013 has 2 divisors, whose sum is σ = 102222010110014. Its totient is φ = 102222010110012.

The previous prime is 102222010109971. The next prime is 102222010110043. The reversal of 102222010110013 is 310011010222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91261394804889 + 10960615305124 = 9553083^2 + 3310682^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222010110013 - 2¹⁷ = 102222009978941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102222010110043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111005055006 + 51111005055007.

It is an arithmetic number, because the mean of its divisors is an integer number (51111005055007).

Almost surely, 2^{102222010110013} is an apocalyptic number.

It is an amenable number.

102222010110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222010110013 is an equidigital number, since it uses as much as digits as its factorization.

102222010110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 102222010110013 its reverse (310011010222201), we get a palindrome (412233020332214).

The spelling of 102222010110013 in words is "one hundred two trillion, two hundred twenty-two billion, ten million, one hundred ten thousand, thirteen".