102222220013 has 2 divisors, whose sum is σ = 102222220014. Its totient is φ = 102222220012.

The previous prime is 102222219991. The next prime is 102222220069. The reversal of 102222220013 is 310022222201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59593597924 + 42628622089 = 244118^2 + 206467^2 .

It is an emirp because it is prime and its reverse (310022222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102222220013 - 2¹⁸ = 102221957869 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222219973 and 102222220000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102222223013) 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 as a sum of consecutive naturals, namely, 51111110006 + 51111110007.

It is an arithmetic number, because the mean of its divisors is an integer number (51111110007).

Almost surely, 2^102222220013 is an apocalyptic number.

It is an amenable number.

102222220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222220013 is an equidigital number, since it uses as much as digits as its factorization.

102222220013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102222220013 its reverse (310022222201), we get a palindrome (412244442214).

The spelling of 102222220013 in words is "one hundred two billion, two hundred twenty-two million, two hundred twenty thousand, thirteen".