22011101120017 has 2 divisors, whose sum is σ = 22011101120018. Its totient is φ = 22011101120016.

The previous prime is 22011101119993. The next prime is 22011101120051. The reversal of 22011101120017 is 71002110111022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12777257571841 + 9233843548176 = 3574529^2 + 3038724^2 .

It is a cyclic number.

It is not a de Polignac number, because 22011101120017 - 2³⁵ = 21976741381649 is a prime.

It is a super-2 number, since 2×22011101120017² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22011101119976 and 22011101120003.

It is not a weakly prime, because it can be changed into another prime (22011101120087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005550560008 + 11005550560009.

It is an arithmetic number, because the mean of its divisors is an integer number (11005550560009).

Almost surely, 2^{22011101120017} is an apocalyptic number.

It is an amenable number.

22011101120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011101120017 is an equidigital number, since it uses as much as digits as its factorization.

22011101120017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 22011101120017 its reverse (71002110111022), we get a palindrome (93013211231039).

The spelling of 22011101120017 in words is "twenty-two trillion, eleven billion, one hundred one million, one hundred twenty thousand, seventeen".