2122120010221 has 24 divisors (see below), whose sum is σ = 2163045516192. Its totient is φ = 2081835756000.

The previous prime is 2122120010209. The next prime is 2122120010237. The reversal of 2122120010221 is 1220100212212.

It is a happy number.

It is not a de Polignac number, because 2122120010221 - 2¹⁹ = 2122119485933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2122120010195 and 2122120010204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122120080221) 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 23 ways as a sum of consecutive naturals, for example, 551054946 + ... + 551058796.

It is an arithmetic number, because the mean of its divisors is an integer number (90126896508).

Almost surely, 2^{2122120010221} is an apocalyptic number.

It is an amenable number.

2122120010221 is a deficient number, since it is larger than the sum of its proper divisors (40925505971).

2122120010221 is a wasteful number, since it uses less digits than its factorization.

2122120010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2122120010221 its reverse (1220100212212), we get a palindrome (3342220222433).

The spelling of 2122120010221 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, ten thousand, two hundred twenty-one".