12121122221017 has 2 divisors, whose sum is σ = 12121122221018. Its totient is φ = 12121122221016.

The previous prime is 12121122220993. The next prime is 12121122221051. The reversal of 12121122221017 is 71012222112121.

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., 11698185308121 + 422936912896 = 3420261^2 + 650336^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121122221017 - 2¹⁹ = 12121121696729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121122220982 and 12121122221000.

It is not a weakly prime, because it can be changed into another prime (12121122201017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060561110508 + 6060561110509.

It is an arithmetic number, because the mean of its divisors is an integer number (6060561110509).

Almost surely, 2^{12121122221017} is an apocalyptic number.

It is an amenable number.

12121122221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121122221017 is an equidigital number, since it uses as much as digits as its factorization.

12121122221017 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 25.

Adding to 12121122221017 its reverse (71012222112121), we get a palindrome (83133344333138).

The spelling of 12121122221017 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, seventeen".