2121102111217 has 2 divisors, whose sum is σ = 2121102111218. Its totient is φ = 2121102111216.

The previous prime is 2121102111197. The next prime is 2121102111223. The reversal of 2121102111217 is 7121112011212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1669163225521 + 451938885696 = 1291961^2 + 672264^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121102111217 - 2³⁵ = 2086742372849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121102111017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060551055608 + 1060551055609.

It is an arithmetic number, because the mean of its divisors is an integer number (1060551055609).

Almost surely, 2^{2121102111217} is an apocalyptic number.

It is an amenable number.

2121102111217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121102111217 is an equidigital number, since it uses as much as digits as its factorization.

2121102111217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 2121102111217 its reverse (7121112011212), we get a palindrome (9242214122429).

The spelling of 2121102111217 in words is "two trillion, one hundred twenty-one billion, one hundred two million, one hundred eleven thousand, two hundred seventeen".