2121321213017 has 2 divisors, whose sum is σ = 2121321213018. Its totient is φ = 2121321213016.

The previous prime is 2121321212993. The next prime is 2121321213071. The reversal of 2121321213017 is 7103121231212.

Together with next prime (2121321213071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1737917526601 + 383403686416 = 1318301^2 + 619196^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121321213017 - 2²⁸ = 2121052777561 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121321215017) 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, 1060660606508 + 1060660606509.

It is an arithmetic number, because the mean of its divisors is an integer number (1060660606509).

Almost surely, 2^{2121321213017} is an apocalyptic number.

It is an amenable number.

2121321213017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121321213017 is an equidigital number, since it uses as much as digits as its factorization.

2121321213017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 2121321213017 its reverse (7103121231212), we get a palindrome (9224442444229).

The spelling of 2121321213017 in words is "two trillion, one hundred twenty-one billion, three hundred twenty-one million, two hundred thirteen thousand, seventeen".