221200212021201 has 36 divisors (see below), whose sum is σ = 371677830410484. Its totient is φ = 126399684600000.

The previous prime is 221200212021163. The next prime is 221200212021289. The reversal of 221200212021201 is 102120212002122.

It is a happy number.

221200212021201 is a `hidden beast` number, since 221 + 20 + 0 + 21 + 202 + 1 + 201 = 666.

221200212021201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 120499468700625 + 100700743320576 = 10977225^2 + 10034976^2 .

It is not a de Polignac number, because 221200212021201 - 2²¹ = 221200209924049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221200212020201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 161385511 + ... + 162750371.

It is an arithmetic number, because the mean of its divisors is an integer number (10324384178069).

Almost surely, 2^{221200212021201} is an apocalyptic number.

221200212021201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221200212021201 is a deficient number, since it is larger than the sum of its proper divisors (150477618389283).

221200212021201 is a wasteful number, since it uses less digits than its factorization.

221200212021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732382 (or 1732372 counting only the distinct ones).

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

Adding to 221200212021201 its reverse (102120212002122), we get a palindrome (323320424023323).

The spelling of 221200212021201 in words is "two hundred twenty-one trillion, two hundred billion, two hundred twelve million, twenty-one thousand, two hundred one".