102212124200413 has 2 divisors, whose sum is σ = 102212124200414. Its totient is φ = 102212124200412.

The previous prime is 102212124200239. The next prime is 102212124200443. The reversal of 102212124200413 is 314002421212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102198290206489 + 13833993924 = 10109317^2 + 117618^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212124200413 - 2²⁵ = 102212090645981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102212124200443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106062100206 + 51106062100207.

It is an arithmetic number, because the mean of its divisors is an integer number (51106062100207).

Almost surely, 2^{102212124200413} is an apocalyptic number.

It is an amenable number.

102212124200413 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212124200413 is an equidigital number, since it uses as much as digits as its factorization.

102212124200413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 102212124200413 its reverse (314002421212201), we get a palindrome (416214545412614).

The spelling of 102212124200413 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-four million, two hundred thousand, four hundred thirteen".