221121121211201 has 8 divisors (see below), whose sum is σ = 223920493468800. Its totient is φ = 218321758221840.

The previous prime is 221121121211167. The next prime is 221121121211203. The reversal of 221121121211201 is 102112121121122.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 221121121211201 - 2³⁴ = 221103941342017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221121121211203) 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 7 ways as a sum of consecutive naturals, for example, 54448286 + ... + 58368296.

It is an arithmetic number, because the mean of its divisors is an integer number (27990061683600).

Almost surely, 2^{221121121211201} is an apocalyptic number.

It is an amenable number.

221121121211201 is a deficient number, since it is larger than the sum of its proper divisors (2799372257599).

221121121211201 is an equidigital number, since it uses as much as digits as its factorization.

221121121211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634119.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 221121121211201 its reverse (102112121121122), we get a palindrome (323233242332323).

The spelling of 221121121211201 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, two hundred one".