221120101120221 has 32 divisors (see below), whose sum is σ = 344833268736000. Its totient is φ = 139652127577584.

The previous prime is 221120101120187. The next prime is 221120101120241. The reversal of 221120101120221 is 122021101021122.

221120101120221 is a `hidden beast` number, since 2 + 211 + 201 + 0 + 11 + 20 + 221 = 666.

It is not a de Polignac number, because 221120101120221 - 2¹⁵ = 221120101087453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221120101120194 and 221120101120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120101120241) 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 31 ways as a sum of consecutive naturals, for example, 22874116 + ... + 31071938.

It is an arithmetic number, because the mean of its divisors is an integer number (10776039648000).

Almost surely, 2^{221120101120221} is an apocalyptic number.

It is an amenable number.

221120101120221 is a deficient number, since it is larger than the sum of its proper divisors (123713167615779).

221120101120221 is a wasteful number, since it uses less digits than its factorization.

221120101120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250430 (or 8250424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221120101120221 its reverse (122021101021122), we get a palindrome (343141202141343).

Subtracting from 221120101120221 its reverse (122021101021122), we obtain a palindrome (99099000099099).

The spelling of 221120101120221 in words is "two hundred twenty-one trillion, one hundred twenty billion, one hundred one million, one hundred twenty thousand, two hundred twenty-one".