2112100022117 has 2 divisors, whose sum is σ = 2112100022118. Its totient is φ = 2112100022116.

The previous prime is 2112100022099. The next prime is 2112100022129. The reversal of 2112100022117 is 7112200012112.

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., 1192046892481 + 920053129636 = 1091809^2 + 959194^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112100022117 - 2¹⁰ = 2112100021093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112100022717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056050011058 + 1056050011059.

It is an arithmetic number, because the mean of its divisors is an integer number (1056050011059).

Almost surely, 2^{2112100022117} is an apocalyptic number.

It is an amenable number.

2112100022117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112100022117 is an equidigital number, since it uses as much as digits as its factorization.

2112100022117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 2112100022117 its reverse (7112200012112), we get a palindrome (9224300034229).

The spelling of 2112100022117 in words is "two trillion, one hundred twelve billion, one hundred million, twenty-two thousand, one hundred seventeen".