2211102012017 has 2 divisors, whose sum is σ = 2211102012018. Its totient is φ = 2211102012016.

The previous prime is 2211102011981. The next prime is 2211102012019. The reversal of 2211102012017 is 7102102011122.

It is a happy number.

2211102012017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2170035394816 + 41066617201 = 1473104^2 + 202649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211102012017 - 2⁸ = 2211102011761 is a prime.

It is a super-2 number, since 2×2211102012017² (a number of 25 digits) contains 22 as substring.

Together with 2211102012019, 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 2211102012017.

It is not a weakly prime, because it can be changed into another prime (2211102012019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105551006008 + 1105551006009.

It is an arithmetic number, because the mean of its divisors is an integer number (1105551006009).

Almost surely, 2^{2211102012017} is an apocalyptic number.

It is an amenable number.

2211102012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211102012017 is an equidigital number, since it uses as much as digits as its factorization.

2211102012017 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 20.

Adding to 2211102012017 its reverse (7102102011122), we get a palindrome (9313204023139).

The spelling of 2211102012017 in words is "two trillion, two hundred eleven billion, one hundred two million, twelve thousand, seventeen".