2122212222133 has 2 divisors, whose sum is σ = 2122212222134. Its totient is φ = 2122212222132.

The previous prime is 2122212222121. The next prime is 2122212222161. The reversal of 2122212222133 is 3312222122212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1915298227249 + 206913994884 = 1383943^2 + 454878^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122212222133 - 2²⁵ = 2122178667701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122212222098 and 2122212222107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122212222103) 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, 1061106111066 + 1061106111067.

It is an arithmetic number, because the mean of its divisors is an integer number (1061106111067).

Almost surely, 2^{2122212222133} is an apocalyptic number.

It is an amenable number.

2122212222133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122212222133 is an equidigital number, since it uses as much as digits as its factorization.

2122212222133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 25.

Adding to 2122212222133 its reverse (3312222122212), we get a palindrome (5434434344345).

The spelling of 2122212222133 in words is "two trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred thirty-three".