2121332132322 has 144 divisors (see below), whose sum is σ = 5084841008520. Its totient is φ = 638722326528.

The previous prime is 2121332132281. The next prime is 2121332132327. The reversal of 2121332132322 is 2232312331212.

2121332132322 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 332 + 1 + 3 + 2 + 322 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 56992490361 + 2064339641961 = 238731^2 + 1436781^2 .

It is a super-2 number, since 2×2121332132322² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2121332132327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26221198 + ... + 26301974.

Almost surely, 2^{2121332132322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121332132322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542420504260).

2121332132322 is an abundant number, since it is smaller than the sum of its proper divisors (2963508876198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121332132322 is a wasteful number, since it uses less digits than its factorization.

2121332132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80997 (or 80981 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2121332132322 its reverse (2232312331212), we get a palindrome (4353644463534).

The spelling of 2121332132322 in words is "two trillion, one hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty-two".