221020220211221 has 16 divisors (see below), whose sum is σ = 222898842949440. Its totient is φ = 219149922816000.

The previous prime is 221020220211187. The next prime is 221020220211223. The reversal of 221020220211221 is 122112022020122.

It is a cyclic number.

It is not a de Polignac number, because 221020220211221 - 2¹⁸ = 221020219949077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221020220211193 and 221020220211202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020220211223) 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 15 ways as a sum of consecutive naturals, for example, 264833846 + ... + 265667096.

It is an arithmetic number, because the mean of its divisors is an integer number (13931177684340).

Almost surely, 2^{221020220211221} is an apocalyptic number.

It is an amenable number.

221020220211221 is a deficient number, since it is larger than the sum of its proper divisors (1878622738219).

221020220211221 is a wasteful number, since it uses less digits than its factorization.

221020220211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838244.

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

Adding to 221020220211221 its reverse (122112022020122), we get a palindrome (343132242231343).

The spelling of 221020220211221 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty million, two hundred eleven thousand, two hundred twenty-one".