2121022121117 has 2 divisors, whose sum is σ = 2121022121118. Its totient is φ = 2121022121116.

The previous prime is 2121022121111. The next prime is 2121022121201. The reversal of 2121022121117 is 7111212201212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1933862921956 + 187159199161 = 1390634^2 + 432619^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121022121117 - 2²⁴ = 2121005343901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2121022121092 and 2121022121101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121022121111) 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, 1060511060558 + 1060511060559.

It is an arithmetic number, because the mean of its divisors is an integer number (1060511060559).

Almost surely, 2^{2121022121117} is an apocalyptic number.

It is an amenable number.

2121022121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121022121117 is an equidigital number, since it uses as much as digits as its factorization.

2121022121117 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 2121022121117 its reverse (7111212201212), we get a palindrome (9232234322329).

The spelling of 2121022121117 in words is "two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, one hundred seventeen".