11101221112117 has 2 divisors, whose sum is σ = 11101221112118. Its totient is φ = 11101221112116.

The previous prime is 11101221112097. The next prime is 11101221112123. The reversal of 11101221112117 is 71121112210111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8197192729476 + 2904028382641 = 2863074^2 + 1704121^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101221112117 - 2²³ = 11101212723509 is a prime.

It is a super-3 number, since 3×11101221112117³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101221110117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550610556058 + 5550610556059.

It is an arithmetic number, because the mean of its divisors is an integer number (5550610556059).

Almost surely, 2^{11101221112117} is an apocalyptic number.

It is an amenable number.

11101221112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101221112117 is an equidigital number, since it uses as much as digits as its factorization.

11101221112117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 22.

Adding to 11101221112117 its reverse (71121112210111), we get a palindrome (82222333322228).

The spelling of 11101221112117 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred seventeen".