102203212131257 has 2 divisors, whose sum is σ = 102203212131258. Its totient is φ = 102203212131256.

The previous prime is 102203212131197. The next prime is 102203212131263. The reversal of 102203212131257 is 752131212302201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67747122186496 + 34456089944761 = 8230864^2 + 5869931^2 .

It is a cyclic number.

It is not a de Polignac number, because 102203212131257 - 2⁸ = 102203212131001 is a prime.

It is not a weakly prime, because it can be changed into another prime (102203212131857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101606065628 + 51101606065629.

It is an arithmetic number, because the mean of its divisors is an integer number (51101606065629).

Almost surely, 2^{102203212131257} is an apocalyptic number.

It is an amenable number.

102203212131257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102203212131257 is an equidigital number, since it uses as much as digits as its factorization.

102203212131257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

Adding to 102203212131257 its reverse (752131212302201), we get a palindrome (854334424433458).

The spelling of 102203212131257 in words is "one hundred two trillion, two hundred three billion, two hundred twelve million, one hundred thirty-one thousand, two hundred fifty-seven".