2121112211117 has 2 divisors, whose sum is σ = 2121112211118. Its totient is φ = 2121112211116.

The previous prime is 2121112211083. The next prime is 2121112211149. The reversal of 2121112211117 is 7111122111212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2104179435241 + 16932775876 = 1450579^2 + 130126^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121112211117 - 2³⁰ = 2120038469293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121112211092 and 2121112211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121112211717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060556105558 + 1060556105559.

It is an arithmetic number, because the mean of its divisors is an integer number (1060556105559).

Almost surely, 2^{2121112211117} is an apocalyptic number.

It is an amenable number.

2121112211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121112211117 is an equidigital number, since it uses as much as digits as its factorization.

2121112211117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 112, while the sum is 23.

Adding to 2121112211117 its reverse (7111122111212), we get a palindrome (9232234322329).

The spelling of 2121112211117 in words is "two trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred seventeen".