2122102012117 has 2 divisors, whose sum is σ = 2122102012118. Its totient is φ = 2122102012116.

The previous prime is 2122102012073. The next prime is 2122102012157. The reversal of 2122102012117 is 7112102012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1357712013681 + 764389998436 = 1165209^2 + 874294^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2122102012117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122102012157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061051006058 + 1061051006059.

It is an arithmetic number, because the mean of its divisors is an integer number (1061051006059).

Almost surely, 2^{2122102012117} is an apocalyptic number.

It is an amenable number.

2122102012117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122102012117 is an equidigital number, since it uses as much as digits as its factorization.

2122102012117 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 22.

Adding to 2122102012117 its reverse (7112102012212), we get a palindrome (9234204024329).

The spelling of 2122102012117 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, one hundred seventeen".