2112222133121 has 2 divisors, whose sum is σ = 2112222133122. Its totient is φ = 2112222133120.

The previous prime is 2112222133033. The next prime is 2112222133163. The reversal of 2112222133121 is 1213312222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1952478030721 + 159744102400 = 1397311^2 + 399680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112222133121 is a prime.

It is a super-2 number, since 2×2112222133121² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112222138121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056111066560 + 1056111066561.

It is an arithmetic number, because the mean of its divisors is an integer number (1056111066561).

Almost surely, 2^{2112222133121} is an apocalyptic number.

It is an amenable number.

2112222133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112222133121 is an equidigital number, since it uses as much as digits as its factorization.

2112222133121 is an evil number, because the sum of its binary digits is even.

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

Adding to 2112222133121 its reverse (1213312222112), we get a palindrome (3325534355233).

The spelling of 2112222133121 in words is "two trillion, one hundred twelve billion, two hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty-one".