221011121200221 has 24 divisors (see below), whose sum is σ = 348426660204480. Its totient is φ = 133882014196800.

The previous prime is 221011121200211. The next prime is 221011121200241. The reversal of 221011121200221 is 122002121110122.

221011121200221 is a `hidden beast` number, since 2 + 210 + 1 + 11 + 21 + 200 + 221 = 666.

It is not a de Polignac number, because 221011121200221 - 2¹⁴ = 221011121183837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221011121200194 and 221011121200203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011121200201) 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, 534124345 + ... + 534537966.

It is an arithmetic number, because the mean of its divisors is an integer number (14517777508520).

Almost surely, 2^{221011121200221} is an apocalyptic number.

It is an amenable number.

221011121200221 is a deficient number, since it is larger than the sum of its proper divisors (127415539004259).

221011121200221 is a wasteful number, since it uses less digits than its factorization.

221011121200221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068664417 (or 1068664414 counting only the distinct ones).

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

Adding to 221011121200221 its reverse (122002121110122), we get a palindrome (343013242310343).

Subtracting from 221011121200221 its reverse (122002121110122), we obtain a palindrome (99009000090099).

The spelling of 221011121200221 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-one million, two hundred thousand, two hundred twenty-one".