2120221211221 has 16 divisors (see below), whose sum is σ = 2198115889200. Its totient is φ = 2042650165248.

The previous prime is 2120221211203. The next prime is 2120221211281. The reversal of 2120221211221 is 1221121220212.

It can be written as a sum of positive squares in 8 ways, for example, as 7227550225 + 2112993660996 = 85015^2 + 1453614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120221211221 - 2³⁷ = 1982782257749 is a prime.

It is a super-3 number, since 3×2120221211221³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120221211201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25671825 + ... + 25754281.

It is an arithmetic number, because the mean of its divisors is an integer number (137382243075).

Almost surely, 2^{2120221211221} is an apocalyptic number.

It is an amenable number.

2120221211221 is a deficient number, since it is larger than the sum of its proper divisors (77894677979).

2120221211221 is a wasteful number, since it uses less digits than its factorization.

2120221211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84408.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2120221211221 its reverse (1221121220212), we get a palindrome (3341342431433).

The spelling of 2120221211221 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty-one".