201142224204201 has 16 divisors (see below), whose sum is σ = 340558263203200. Its totient is φ = 114938413830864.

The previous prime is 201142224204149. The next prime is 201142224204263. The reversal of 201142224204201 is 102402422241102.

201142224204201 is a `hidden beast` number, since 2 + 0 + 1 + 14 + 2 + 22 + 420 + 4 + 201 = 666.

It is not a de Polignac number, because 201142224204201 - 2⁹ = 201142224203689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (201142224204281) 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 15 ways as a sum of consecutive naturals, for example, 532122286066 + ... + 532122286443.

It is an arithmetic number, because the mean of its divisors is an integer number (21284891450200).

Almost surely, 2^{201142224204201} is an apocalyptic number.

201142224204201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201142224204201 is a deficient number, since it is larger than the sum of its proper divisors (139416038998999).

201142224204201 is a wasteful number, since it uses less digits than its factorization.

201142224204201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064244572525 (or 1064244572519 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 201142224204201 its reverse (102402422241102), we get a palindrome (303544646445303).

The spelling of 201142224204201 in words is "two hundred one trillion, one hundred forty-two billion, two hundred twenty-four million, two hundred four thousand, two hundred one".