102211221257 has 2 divisors, whose sum is σ = 102211221258. Its totient is φ = 102211221256.

The previous prime is 102211221193. The next prime is 102211221283. The reversal of 102211221257 is 752122112201.

It is an a-pointer prime, because the next prime (102211221283) can be obtained adding 102211221257 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75242684416 + 26968536841 = 274304^2 + 164221^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211221257 - 2⁶ = 102211221193 is a prime.

It is not a weakly prime, because it can be changed into another prime (102211221157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105610628 + 51105610629.

It is an arithmetic number, because the mean of its divisors is an integer number (51105610629).

Almost surely, 2^102211221257 is an apocalyptic number.

It is an amenable number.

102211221257 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211221257 is an equidigital number, since it uses as much as digits as its factorization.

102211221257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 102211221257 its reverse (752122112201), we get a palindrome (854333333458).

The spelling of 102211221257 in words is "one hundred two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred fifty-seven".