2121221011133 has 24 divisors (see below), whose sum is σ = 2520438768000. Its totient is φ = 1779225600768.

The previous prime is 2121221011121. The next prime is 2121221011181. The reversal of 2121221011133 is 3311101221212.

It is not a de Polignac number, because 2121221011133 - 2³⁸ = 1846343104189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121221011433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15335918 + ... + 15473616.

It is an arithmetic number, because the mean of its divisors is an integer number (105018282000).

Almost surely, 2^{2121221011133} is an apocalyptic number.

It is an amenable number.

2121221011133 is a deficient number, since it is larger than the sum of its proper divisors (399217756867).

2121221011133 is a wasteful number, since it uses less digits than its factorization.

2121221011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144449 (or 144442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2121221011133 its reverse (3311101221212), we get a palindrome (5432322232345).

The spelling of 2121221011133 in words is "two trillion, one hundred twenty-one billion, two hundred twenty-one million, eleven thousand, one hundred thirty-three".