221220202112001 has 28 divisors (see below), whose sum is σ = 331697550070692. Its totient is φ = 147471697357056.

The previous prime is 221220202111973. The next prime is 221220202112003. The reversal of 221220202112001 is 100211202022122.

It is a happy number.

221220202112001 is a `hidden beast` number, since 2 + 212 + 20 + 20 + 211 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4927294502001 + 216292907610000 = 2219751^2 + 14706900^2 .

It is not a de Polignac number, because 221220202112001 - 2³⁷ = 221082763158529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221220202112003) 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 27 ways as a sum of consecutive naturals, for example, 4083625 + ... + 21427001.

Almost surely, 2^{221220202112001} is an apocalyptic number.

It is an amenable number.

221220202112001 is a deficient number, since it is larger than the sum of its proper divisors (110477347958691).

221220202112001 is an equidigital number, since it uses as much as digits as its factorization.

221220202112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17360892 (or 17360877 counting only the distinct ones).

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

Adding to 221220202112001 its reverse (100211202022122), we get a palindrome (321431404134123).

The spelling of 221220202112001 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred two million, one hundred twelve thousand, one".