11221100011117 has 2 divisors, whose sum is σ = 11221100011118. Its totient is φ = 11221100011116.

The previous prime is 11221100011111. The next prime is 11221100011153. The reversal of 11221100011117 is 71111000112211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8545484106756 + 2675615904361 = 2923266^2 + 1635731^2 .

It is an emirp because it is prime and its reverse (71111000112211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11221100011117 - 2¹¹ = 11221100009069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11221100011094 and 11221100011103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11221100011111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610550005558 + 5610550005559.

It is an arithmetic number, because the mean of its divisors is an integer number (5610550005559).

Almost surely, 2^{11221100011117} is an apocalyptic number.

It is an amenable number.

11221100011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221100011117 is an equidigital number, since it uses as much as digits as its factorization.

11221100011117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 19.

Adding to 11221100011117 its reverse (71111000112211), we get a palindrome (82332100123328).

The spelling of 11221100011117 in words is "eleven trillion, two hundred twenty-one billion, one hundred million, eleven thousand, one hundred seventeen".