2122200220221 has 24 divisors (see below), whose sum is σ = 3140720102520. Its totient is φ = 1380049344000.

The previous prime is 2122200220213. The next prime is 2122200220229. The reversal of 2122200220221 is 1220220022212.

2122200220221 is a `hidden beast` number, since 2 + 1 + 2 + 220 + 0 + 220 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (2122200220213) and next prime (2122200220229).

It can be written as a sum of positive squares in 4 ways, for example, as 165698657721 + 1956501562500 = 407061^2 + 1398750^2 .

It is not a de Polignac number, because 2122200220221 - 2³ = 2122200220213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122200220194 and 2122200220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122200220229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599265 + ... + 2608073.

It is an arithmetic number, because the mean of its divisors is an integer number (130863337605).

Almost surely, 2^{2122200220221} is an apocalyptic number.

It is an amenable number.

2122200220221 is a deficient number, since it is larger than the sum of its proper divisors (1018519882299).

2122200220221 is a wasteful number, since it uses less digits than its factorization.

2122200220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014557 (or 1014554 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122200220221 its reverse (1220220022212), we get a palindrome (3342420242433).

The spelling of 2122200220221 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred twenty thousand, two hundred twenty-one".