102210001011257 has 2 divisors, whose sum is σ = 102210001011258. Its totient is φ = 102210001011256.

The previous prime is 102210001011193. The next prime is 102210001011299. The reversal of 102210001011257 is 752110100012201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72846293280016 + 29363707731241 = 8535004^2 + 5418829^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210001011257 - 2⁶ = 102210001011193 is a prime.

It is not a weakly prime, because it can be changed into another prime (102210001011857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105000505628 + 51105000505629.

It is an arithmetic number, because the mean of its divisors is an integer number (51105000505629).

Almost surely, 2^{102210001011257} is an apocalyptic number.

It is an amenable number.

102210001011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210001011257 is an equidigital number, since it uses as much as digits as its factorization.

102210001011257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 102210001011257 its reverse (752110100012201), we get a palindrome (854320101023458).

The spelling of 102210001011257 in words is "one hundred two trillion, two hundred ten billion, one million, eleven thousand, two hundred fifty-seven".