12200221221017 has 2 divisors, whose sum is σ = 12200221221018. Its totient is φ = 12200221221016.

The previous prime is 12200221220981. The next prime is 12200221221037. The reversal of 12200221221017 is 71012212200221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6663311032921 + 5536910188096 = 2581339^2 + 2353064^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200221221017 - 2²² = 12200217026713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200221220983 and 12200221221001.

It is not a weakly prime, because it can be changed into another prime (12200221221037) 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, 6100110610508 + 6100110610509.

It is an arithmetic number, because the mean of its divisors is an integer number (6100110610509).

Almost surely, 2^{12200221221017} is an apocalyptic number.

It is an amenable number.

12200221221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200221221017 is an equidigital number, since it uses as much as digits as its factorization.

12200221221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 12200221221017 its reverse (71012212200221), we get a palindrome (83212433421238).

The spelling of 12200221221017 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, seventeen".