22011112111117 has 2 divisors, whose sum is σ = 22011112111118. Its totient is φ = 22011112111116.

The previous prime is 22011112111103. The next prime is 22011112111253. The reversal of 22011112111117 is 71111121111022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12912135475716 + 9098976635401 = 3593346^2 + 3016451^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22011112111117 is a prime.

It is a super-2 number, since 2×22011112111117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22011112112117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11005556055558 + 11005556055559.

It is an arithmetic number, because the mean of its divisors is an integer number (11005556055559).

Almost surely, 2^{22011112111117} is an apocalyptic number.

It is an amenable number.

22011112111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011112111117 is an equidigital number, since it uses as much as digits as its factorization.

22011112111117 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 22011112111117 its reverse (71111121111022), we get a palindrome (93122233222139).

The spelling of 22011112111117 in words is "twenty-two trillion, eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred seventeen".