102210002122213 has 2 divisors, whose sum is σ = 102210002122214. Its totient is φ = 102210002122212.

The previous prime is 102210002122159. The next prime is 102210002122237. The reversal of 102210002122213 is 312221200012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100237600968129 + 1972401154084 = 10011873^2 + 1404422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102210002122213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210002152213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105001061106 + 51105001061107.

It is an arithmetic number, because the mean of its divisors is an integer number (51105001061107).

Almost surely, 2^{102210002122213} is an apocalyptic number.

It is an amenable number.

102210002122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210002122213 is an equidigital number, since it uses as much as digits as its factorization.

102210002122213 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 19.

Adding to 102210002122213 its reverse (312221200012201), we get a palindrome (414431202134414).

The spelling of 102210002122213 in words is "one hundred two trillion, two hundred ten billion, two million, one hundred twenty-two thousand, two hundred thirteen".