11011022100017 has 2 divisors, whose sum is σ = 11011022100018. Its totient is φ = 11011022100016.

The previous prime is 11011022099981. The next prime is 11011022100077. The reversal of 11011022100017 is 71000122011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8810306222656 + 2200715877361 = 2968216^2 + 1483481^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11011022100017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011022099968 and 11011022100004.

It is not a weakly prime, because it can be changed into another prime (11011022100077) 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, 5505511050008 + 5505511050009.

It is an arithmetic number, because the mean of its divisors is an integer number (5505511050009).

Almost surely, 2^{11011022100017} is an apocalyptic number.

It is an amenable number.

11011022100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011022100017 is an equidigital number, since it uses as much as digits as its factorization.

11011022100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 11011022100017 its reverse (71000122011011), we get a palindrome (82011144111028).

The spelling of 11011022100017 in words is "eleven trillion, eleven billion, twenty-two million, one hundred thousand, seventeen".