2121133221 has 12 divisors (see below), whose sum is σ = 3064277580. Its totient is φ = 1413895680.

The previous prime is 2121133207. The next prime is 2121133247. The reversal of 2121133221 is 1223311212.

It can be written as a sum of positive squares in 2 ways, for example, as 1776622500 + 344510721 = 42150^2 + 18561^2 .

It is not a de Polignac number, because 2121133221 - 2⁷ = 2121133093 is a prime.

It is a super-2 number, since 2×2121133221² = 8998412282459669682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2121133194 and 2121133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121133291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90885 + ... + 111813.

It is an arithmetic number, because the mean of its divisors is an integer number (255356465).

Almost surely, 2^2121133221 is an apocalyptic number.

It is an amenable number.

2121133221 is a deficient number, since it is larger than the sum of its proper divisors (943144359).

2121133221 is a wasteful number, since it uses less digits than its factorization.

2121133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32196 (or 32193 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2121133221 is about 46055.7620825017. The cubic root of 2121133221 is about 1284.8605118414.

Adding to 2121133221 its reverse (1223311212), we get a palindrome (3344444433).

The spelling of 2121133221 in words is "two billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred twenty-one".