2112122210117 has 2 divisors, whose sum is σ = 2112122210118. Its totient is φ = 2112122210116.

The previous prime is 2112122210059. The next prime is 2112122210119. The reversal of 2112122210117 is 7110122212112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1333375968961 + 778746241156 = 1154719^2 + 882466^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112122210117 - 2⁶ = 2112122210053 is a prime.

It is a super-3 number, since 3×2112122210117³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2112122210119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112122210092 and 2112122210101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112122210119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056061105058 + 1056061105059.

It is an arithmetic number, because the mean of its divisors is an integer number (1056061105059).

Almost surely, 2^{2112122210117} is an apocalyptic number.

It is an amenable number.

2112122210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112122210117 is an equidigital number, since it uses as much as digits as its factorization.

2112122210117 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 2112122210117 its reverse (7110122212112), we get a palindrome (9222244422229).

The spelling of 2112122210117 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, one hundred seventeen".