11211122220017 has 2 divisors, whose sum is σ = 11211122220018. Its totient is φ = 11211122220016.

The previous prime is 11211122219981. The next prime is 11211122220059. The reversal of 11211122220017 is 71002222111211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7359072243121 + 3852049976896 = 2712761^2 + 1962664^2 .

It is a cyclic number.

It is not a de Polignac number, because 11211122220017 - 2⁶ = 11211122219953 is a prime.

It is a super-2 number, since 2×11211122220017² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11211122219974 and 11211122220001.

It is not a weakly prime, because it can be changed into another prime (11211122220097) 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, 5605561110008 + 5605561110009.

It is an arithmetic number, because the mean of its divisors is an integer number (5605561110009).

Almost surely, 2^{11211122220017} is an apocalyptic number.

It is an amenable number.

11211122220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11211122220017 is an equidigital number, since it uses as much as digits as its factorization.

11211122220017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 11211122220017 its reverse (71002222111211), we get a palindrome (82213344331228).

The spelling of 11211122220017 in words is "eleven trillion, two hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, seventeen".