2131223122221 has 8 divisors (see below), whose sum is σ = 3008785584384. Its totient is φ = 1337238037440.

The previous prime is 2131223122213. The next prime is 2131223122241. The reversal of 2131223122221 is 1222213221312.

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

It is not a de Polignac number, because 2131223122221 - 2³ = 2131223122213 is a prime.

It is a super-3 number, since 3×2131223122221³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2131223122191 and 2131223122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131223122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20894344285 + ... + 20894344386.

It is an arithmetic number, because the mean of its divisors is an integer number (376098198048).

Almost surely, 2^{2131223122221} is an apocalyptic number.

It is an amenable number.

2131223122221 is a deficient number, since it is larger than the sum of its proper divisors (877562462163).

2131223122221 is a wasteful number, since it uses less digits than its factorization.

2131223122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41788688691.

The product of its digits is 1152, while the sum is 24.

Adding to 2131223122221 its reverse (1222213221312), we get a palindrome (3353436343533).

Subtracting from 2131223122221 its reverse (1222213221312), we obtain a palindrome (909009900909).

The spelling of 2131223122221 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-two thousand, two hundred twenty-one".