2121122233121 has 2 divisors, whose sum is σ = 2121122233122. Its totient is φ = 2121122233120.

The previous prime is 2121122233103. The next prime is 2121122233123. The reversal of 2121122233121 is 1213322211212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1441594040896 + 679528192225 = 1200664^2 + 824335^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121122233121 - 2³⁴ = 2103942363937 is a prime.

Together with 2121122233123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2121122233123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060561116560 + 1060561116561.

It is an arithmetic number, because the mean of its divisors is an integer number (1060561116561).

Almost surely, 2^{2121122233121} is an apocalyptic number.

It is an amenable number.

2121122233121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121122233121 is an equidigital number, since it uses as much as digits as its factorization.

2121122233121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

Adding to 2121122233121 its reverse (1213322211212), we get a palindrome (3334444444333).

The spelling of 2121122233121 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred thirty-three thousand, one hundred twenty-one".