2120221122221 has 2 divisors, whose sum is σ = 2120221122222. Its totient is φ = 2120221122220.

The previous prime is 2120221122203. The next prime is 2120221122223. The reversal of 2120221122221 is 1222211220212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2083620075625 + 36601046596 = 1443475^2 + 191314^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120221122221 - 2¹⁴ = 2120221105837 is a prime.

It is a super-2 number, since 2×2120221122221² (a number of 25 digits) contains 22 as substring.

Together with 2120221122223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120221122193 and 2120221122202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120221122223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060110561110 + 1060110561111.

It is an arithmetic number, because the mean of its divisors is an integer number (1060110561111).

Almost surely, 2^{2120221122221} is an apocalyptic number.

It is an amenable number.

2120221122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120221122221 is an equidigital number, since it uses as much as digits as its factorization.

2120221122221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2120221122221 its reverse (1222211220212), we get a palindrome (3342432342433).

The spelling of 2120221122221 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".