102401213 has 2 divisors, whose sum is σ = 102401214. Its totient is φ = 102401212.

The previous prime is 102401197. The next prime is 102401219. The reversal of 102401213 is 312104201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102353689 + 47524 = 10117^2 + 218^2 .

It is an emirp because it is prime and its reverse (312104201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102401213 - 2⁴ = 102401197 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102401219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200606 + 51200607.

It is an arithmetic number, because the mean of its divisors is an integer number (51200607).

Almost surely, 2^102401213 is an apocalyptic number.

It is an amenable number.

102401213 is a deficient number, since it is larger than the sum of its proper divisors (1).

102401213 is an equidigital number, since it uses as much as digits as its factorization.

102401213 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 14.

The square root of 102401213 is about 10119.3484474051. The cubic root of 102401213 is about 467.8446854159.

Adding to 102401213 its reverse (312104201), we get a palindrome (414505414).

The spelling of 102401213 in words is "one hundred two million, four hundred one thousand, two hundred thirteen".