12200010102257 has 2 divisors, whose sum is σ = 12200010102258. Its totient is φ = 12200010102256.

The previous prime is 12200010102227. The next prime is 12200010102281. The reversal of 12200010102257 is 75220101000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10662288579856 + 1537721522401 = 3265316^2 + 1240049^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200010102257 - 2¹⁴ = 12200010085873 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200010102227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100005051128 + 6100005051129.

It is an arithmetic number, because the mean of its divisors is an integer number (6100005051129).

Almost surely, 2^{12200010102257} is an apocalyptic number.

It is an amenable number.

12200010102257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200010102257 is an equidigital number, since it uses as much as digits as its factorization.

12200010102257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 12200010102257 its reverse (75220101000221), we get a palindrome (87420111102478).

The spelling of 12200010102257 in words is "twelve trillion, two hundred billion, ten million, one hundred two thousand, two hundred fifty-seven".