221220200211201 has 64 divisors (see below), whose sum is σ = 333179477708800. Its totient is φ = 145036907294400.

The previous prime is 221220200211181. The next prime is 221220200211203. The reversal of 221220200211201 is 102112002022122.

It is a happy number.

221220200211201 is a `hidden beast` number, since 2 + 21 + 220 + 200 + 21 + 1 + 201 = 666.

It is not a de Polignac number, because 221220200211201 - 2⁹ = 221220200210689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221220200211203) 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 63 ways as a sum of consecutive naturals, for example, 12147604986 + ... + 12147623196.

It is an arithmetic number, because the mean of its divisors is an integer number (5205929339200).

Almost surely, 2^{221220200211201} is an apocalyptic number.

It is an amenable number.

221220200211201 is a deficient number, since it is larger than the sum of its proper divisors (111959277497599).

221220200211201 is a wasteful number, since it uses less digits than its factorization.

221220200211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29107 (or 29101 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221220200211201 its reverse (102112002022122), we get a palindrome (323332202233323).

The spelling of 221220200211201 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred million, two hundred eleven thousand, two hundred one".