102202120213 has 2 divisors, whose sum is σ = 102202120214. Its totient is φ = 102202120212.

The previous prime is 102202120177. The next prime is 102202120289. The reversal of 102202120213 is 312021202201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94130535249 + 8071584964 = 306807^2 + 89842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202120213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202121213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101060106 + 51101060107.

It is an arithmetic number, because the mean of its divisors is an integer number (51101060107).

Almost surely, 2^102202120213 is an apocalyptic number.

It is an amenable number.

102202120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202120213 is an equidigital number, since it uses as much as digits as its factorization.

102202120213 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102202120213 its reverse (312021202201), we get a palindrome (414223322414).

The spelling of 102202120213 in words is "one hundred two billion, two hundred two million, one hundred twenty thousand, two hundred thirteen".