102112201221257 has 2 divisors, whose sum is σ = 102112201221258. Its totient is φ = 102112201221256.

The previous prime is 102112201221133. The next prime is 102112201221281. The reversal of 102112201221257 is 752122102211201.

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., 86673046346896 + 15439154874361 = 9309836^2 + 3929269^2 .

It is an emirp because it is prime and its reverse (752122102211201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102112201221257 - 2²⁶ = 102112134112393 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112201821257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056100610628 + 51056100610629.

It is an arithmetic number, because the mean of its divisors is an integer number (51056100610629).

Almost surely, 2^{102112201221257} is an apocalyptic number.

It is an amenable number.

102112201221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112201221257 is an equidigital number, since it uses as much as digits as its factorization.

102112201221257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 29.

Adding to 102112201221257 its reverse (752122102211201), we get a palindrome (854234303432458).

The spelling of 102112201221257 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, two hundred twenty-one thousand, two hundred fifty-seven".