122221100257 has 2 divisors, whose sum is σ = 122221100258. Its totient is φ = 122221100256.

The previous prime is 122221100191. The next prime is 122221100413. The reversal of 122221100257 is 752001122221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87625472256 + 34595628001 = 296016^2 + 185999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122221100257 is a prime.

It is not a weakly prime, because it can be changed into another prime (122221100657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110550128 + 61110550129.

It is an arithmetic number, because the mean of its divisors is an integer number (61110550129).

Almost surely, 2^122221100257 is an apocalyptic number.

It is an amenable number.

122221100257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221100257 is an equidigital number, since it uses as much as digits as its factorization.

122221100257 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 122221100257 its reverse (752001122221), we get a palindrome (874222222478).

The spelling of 122221100257 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred thousand, two hundred fifty-seven".