2112221022133 has 2 divisors, whose sum is σ = 2112221022134. Its totient is φ = 2112221022132.

The previous prime is 2112221022091. The next prime is 2112221022167. The reversal of 2112221022133 is 3312201222112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1720522785969 + 391698236164 = 1311687^2 + 625858^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112221022133 - 2¹⁷ = 2112220891061 is a prime.

It is a super-2 number, since 2×2112221022133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112221022193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056110511066 + 1056110511067.

It is an arithmetic number, because the mean of its divisors is an integer number (1056110511067).

Almost surely, 2^{2112221022133} is an apocalyptic number.

It is an amenable number.

2112221022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112221022133 is an equidigital number, since it uses as much as digits as its factorization.

2112221022133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2112221022133 its reverse (3312201222112), we get a palindrome (5424422244245).

The spelling of 2112221022133 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred thirty-three".