2121221121133 has 2 divisors, whose sum is σ = 2121221121134. Its totient is φ = 2121221121132.

The previous prime is 2121221121101. The next prime is 2121221121139. The reversal of 2121221121133 is 3311211221212.

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., 1539093322404 + 582127798729 = 1240602^2 + 762973^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121221121133 - 2⁵ = 2121221121101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121221121139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060610560566 + 1060610560567.

It is an arithmetic number, because the mean of its divisors is an integer number (1060610560567).

Almost surely, 2^{2121221121133} is an apocalyptic number.

It is an amenable number.

2121221121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121221121133 is an equidigital number, since it uses as much as digits as its factorization.

2121221121133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 22.

Adding to 2121221121133 its reverse (3311211221212), we get a palindrome (5432432342345).

The spelling of 2121221121133 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty-three".