10102100222257 has 2 divisors, whose sum is σ = 10102100222258. Its totient is φ = 10102100222256.

The previous prime is 10102100222209. The next prime is 10102100222303. The reversal of 10102100222257 is 75222200120101.

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., 9899524615201 + 202575607056 = 3146351^2 + 450084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102100222257 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102100222057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050111128 + 5051050111129.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050111129).

Almost surely, 2^{10102100222257} is an apocalyptic number.

It is an amenable number.

10102100222257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102100222257 is an equidigital number, since it uses as much as digits as its factorization.

10102100222257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1120, while the sum is 25.

Adding to 10102100222257 its reverse (75222200120101), we get a palindrome (85324300342358).

The spelling of 10102100222257 in words is "ten trillion, one hundred two billion, one hundred million, two hundred twenty-two thousand, two hundred fifty-seven".