102112201821257 has 2 divisors, whose sum is σ = 102112201821258. Its totient is φ = 102112201821256.

The previous prime is 102112201821197. The next prime is 102112201821529. The reversal of 102112201821257 is 752128102211201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88876983196681 + 13235218624576 = 9427459^2 + 3638024^2 .

It is a cyclic number.

It is not a de Polignac number, because 102112201821257 - 2⁸ = 102112201821001 is a prime.

It is not a weakly prime, because it can be changed into another prime (102112201821557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056100910628 + 51056100910629.

It is an arithmetic number, because the mean of its divisors is an integer number (51056100910629).

Almost surely, 2^{102112201821257} is an apocalyptic number.

It is an amenable number.

102112201821257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112201821257 is an equidigital number, since it uses as much as digits as its factorization.

102112201821257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8960, while the sum is 35.

The spelling of 102112201821257 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, eight hundred twenty-one thousand, two hundred fifty-seven".