2042116121 has 2 divisors, whose sum is σ = 2042116122. Its totient is φ = 2042116120.

The previous prime is 2042116091. The next prime is 2042116123. The reversal of 2042116121 is 1216112402.

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., 1822009225 + 220106896 = 42685^2 + 14836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2042116121 is a prime.

Together with 2042116123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042116093 and 2042116102.

It is not a weakly prime, because it can be changed into another prime (2042116123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021058060 + 1021058061.

It is an arithmetic number, because the mean of its divisors is an integer number (1021058061).

Almost surely, 2^2042116121 is an apocalyptic number.

It is an amenable number.

2042116121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042116121 is an equidigital number, since it uses as much as digits as its factorization.

2042116121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 2042116121 is about 45189.7789439161. The cubic root of 2042116121 is about 1268.7035193533.

Adding to 2042116121 its reverse (1216112402), we get a palindrome (3258228523).

The spelling of 2042116121 in words is "two billion, forty-two million, one hundred sixteen thousand, one hundred twenty-one".