2112021122117 has 2 divisors, whose sum is σ = 2112021122118. Its totient is φ = 2112021122116.

The previous prime is 2112021122059. The next prime is 2112021122131. The reversal of 2112021122117 is 7112211202112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1942430351521 + 169590770596 = 1393711^2 + 411814^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112021122117 - 2³⁰ = 2110947380293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112021122092 and 2112021122101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112021122137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056010561058 + 1056010561059.

It is an arithmetic number, because the mean of its divisors is an integer number (1056010561059).

Almost surely, 2^{2112021122117} is an apocalyptic number.

It is an amenable number.

2112021122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112021122117 is an equidigital number, since it uses as much as digits as its factorization.

2112021122117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 2112021122117 its reverse (7112211202112), we get a palindrome (9224232324229).

The spelling of 2112021122117 in words is "two trillion, one hundred twelve billion, twenty-one million, one hundred twenty-two thousand, one hundred seventeen".