201044400321 has 16 divisors (see below), whose sum is σ = 268685428736. Its totient is φ = 133716589776.

The previous prime is 201044400307. The next prime is 201044400373. The reversal of 201044400321 is 123004440102.

201044400321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 201044400321 - 2¹⁵ = 201044367553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201044400421) 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 15 ways as a sum of consecutive naturals, for example, 11885556 + ... + 11902458.

It is an arithmetic number, because the mean of its divisors is an integer number (16792839296).

Almost surely, 2^201044400321 is an apocalyptic number.

It is an amenable number.

201044400321 is a deficient number, since it is larger than the sum of its proper divisors (67641028415).

201044400321 is a wasteful number, since it uses less digits than its factorization.

201044400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25932.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201044400321 its reverse (123004440102), we get a palindrome (324048840423).

The spelling of 201044400321 in words is "two hundred one billion, forty-four million, four hundred thousand, three hundred twenty-one".