2221110110017 has 2 divisors, whose sum is σ = 2221110110018. Its totient is φ = 2221110110016.

The previous prime is 2221110109991. The next prime is 2221110110029. The reversal of 2221110110017 is 7100110111222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1158068690496 + 1063041419521 = 1076136^2 + 1031039^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221110110017 - 2²³ = 2221101721409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2221110109976 and 2221110110003.

It is not a weakly prime, because it can be changed into another prime (2221110110047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110555055008 + 1110555055009.

It is an arithmetic number, because the mean of its divisors is an integer number (1110555055009).

Almost surely, 2^{2221110110017} is an apocalyptic number.

It is an amenable number.

2221110110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221110110017 is an equidigital number, since it uses as much as digits as its factorization.

2221110110017 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 2221110110017 its reverse (7100110111222), we get a palindrome (9321220221239).

The spelling of 2221110110017 in words is "two trillion, two hundred twenty-one billion, one hundred ten million, one hundred ten thousand, seventeen".