122202105248257 has 2 divisors, whose sum is σ = 122202105248258. Its totient is φ = 122202105248256.

The previous prime is 122202105248213. The next prime is 122202105248269. The reversal of 122202105248257 is 752842501202221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73717747497216 + 48484357751041 = 8585904^2 + 6963071^2 .

It is a cyclic number.

It is not a de Polignac number, because 122202105248257 - 2³⁵ = 122167745509889 is a prime.

It is not a weakly prime, because it can be changed into another prime (122202105248287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61101052624128 + 61101052624129.

It is an arithmetic number, because the mean of its divisors is an integer number (61101052624129).

Almost surely, 2^{122202105248257} is an apocalyptic number.

It is an amenable number.

122202105248257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122202105248257 is an equidigital number, since it uses as much as digits as its factorization.

122202105248257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 122202105248257 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred five million, two hundred forty-eight thousand, two hundred fifty-seven".