11221122200117 has 2 divisors, whose sum is σ = 11221122200118. Its totient is φ = 11221122200116.

The previous prime is 11221122200089. The next prime is 11221122200131. The reversal of 11221122200117 is 71100222112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6880291626961 + 4340830573156 = 2623031^2 + 2083466^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221122200117 - 2³⁰ = 11220048458293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11221122200092 and 11221122200101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11221122200147) 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, 5610561100058 + 5610561100059.

It is an arithmetic number, because the mean of its divisors is an integer number (5610561100059).

Almost surely, 2^{11221122200117} is an apocalyptic number.

It is an amenable number.

11221122200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221122200117 is an equidigital number, since it uses as much as digits as its factorization.

11221122200117 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 11221122200117 its reverse (71100222112211), we get a palindrome (82321344312328).

The spelling of 11221122200117 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, one hundred seventeen".