2122012101017 has 2 divisors, whose sum is σ = 2122012101018. Its totient is φ = 2122012101016.

The previous prime is 2122012101007. The next prime is 2122012101019. The reversal of 2122012101017 is 7101012102212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1594610802841 + 527401298176 = 1262779^2 + 726224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122012101017 - 2³⁰ = 2120938359193 is a prime.

It is a super-2 number, since 2×2122012101017² (a number of 25 digits) contains 22 as substring.

Together with 2122012101019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2122012101017.

It is not a weakly prime, because it can be changed into another prime (2122012101019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061006050508 + 1061006050509.

It is an arithmetic number, because the mean of its divisors is an integer number (1061006050509).

Almost surely, 2^{2122012101017} is an apocalyptic number.

It is an amenable number.

2122012101017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122012101017 is an equidigital number, since it uses as much as digits as its factorization.

2122012101017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2122012101017 its reverse (7101012102212), we get a palindrome (9223024203229).

The spelling of 2122012101017 in words is "two trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, seventeen".