102443213211257 has 2 divisors, whose sum is σ = 102443213211258. Its totient is φ = 102443213211256.

The previous prime is 102443213211253. The next prime is 102443213211259. The reversal of 102443213211257 is 752112312344201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62407171832041 + 40036041379216 = 7899821^2 + 6327404^2 .

It is a cyclic number.

It is not a de Polignac number, because 102443213211257 - 2² = 102443213211253 is a prime.

It is a super-2 number, since 2×102443213211257² (a number of 29 digits) contains 22 as substring.

Together with 102443213211259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102443213211257.

It is not a weakly prime, because it can be changed into another prime (102443213211253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51221606605628 + 51221606605629.

It is an arithmetic number, because the mean of its divisors is an integer number (51221606605629).

Almost surely, 2^{102443213211257} is an apocalyptic number.

It is an amenable number.

102443213211257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102443213211257 is an equidigital number, since it uses as much as digits as its factorization.

102443213211257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 38.

Adding to 102443213211257 its reverse (752112312344201), we get a palindrome (854555525555458).

The spelling of 102443213211257 in words is "one hundred two trillion, four hundred forty-three billion, two hundred thirteen million, two hundred eleven thousand, two hundred fifty-seven".