2122031312221 has 8 divisors (see below), whose sum is σ = 2158614637688. Its totient is φ = 2085505920000.

The previous prime is 2122031312213. The next prime is 2122031312227. The reversal of 2122031312221 is 1222131302212.

It can be written as a sum of positive squares in 4 ways, for example, as 401962340025 + 1720068972196 = 634005^2 + 1311514^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122031312221 - 2³ = 2122031312213 is a prime.

It is a super-4 number, since 4×2122031312221⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 2122031312192 and 2122031312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122031312227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14409420 + ... + 14555941.

It is an arithmetic number, because the mean of its divisors is an integer number (269826829711).

Almost surely, 2^{2122031312221} is an apocalyptic number.

It is an amenable number.

2122031312221 is a deficient number, since it is larger than the sum of its proper divisors (36583325467).

2122031312221 is a wasteful number, since it uses less digits than its factorization.

2122031312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28966623.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2122031312221 its reverse (1222131302212), we get a palindrome (3344162614433).

The spelling of 2122031312221 in words is "two trillion, one hundred twenty-two billion, thirty-one million, three hundred twelve thousand, two hundred twenty-one".