2133212121 has 12 divisors (see below), whose sum is σ = 3081978900. Its totient is φ = 1421831040.

The previous prime is 2133212101. The next prime is 2133212143. The reversal of 2133212121 is 1212123312.

It can be written as a sum of positive squares in 2 ways, for example, as 791015625 + 1342196496 = 28125^2 + 36636^2 .

It is not a de Polignac number, because 2133212121 - 2⁶ = 2133212057 is a prime.

It is a super-3 number, since 3×2133212121³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2133212094 and 2133212103.

It is not an unprimeable number, because it can be changed into a prime (2133212101) 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, 22405 + ... + 69053.

It is an arithmetic number, because the mean of its divisors is an integer number (256831575).

Almost surely, 2^2133212121 is an apocalyptic number.

It is an amenable number.

2133212121 is a deficient number, since it is larger than the sum of its proper divisors (948766779).

2133212121 is a wasteful number, since it uses less digits than its factorization.

2133212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51736 (or 51733 counting only the distinct ones).

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

The square root of 2133212121 is about 46186.7093545319. The cubic root of 2133212121 is about 1287.2947979247.

Adding to 2133212121 its reverse (1212123312), we get a palindrome (3345335433).

The spelling of 2133212121 in words is "two billion, one hundred thirty-three million, two hundred twelve thousand, one hundred twenty-one".