12201000000201 has 24 divisors (see below), whose sum is σ = 17640446601960. Its totient is φ = 8126256384000.

The previous prime is 12201000000179. The next prime is 12201000000281. The reversal of 12201000000201 is 10200000010221.

It can be written as a sum of positive squares in 4 ways, for example, as 2642978524176 + 9558021476025 = 1625724^2 + 3091605^2 .

It is not a de Polignac number, because 12201000000201 - 2¹⁵ = 12200999967433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12201000000281) 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 23 ways as a sum of consecutive naturals, for example, 205232641 + ... + 205292081.

It is an arithmetic number, because the mean of its divisors is an integer number (735018608415).

Almost surely, 2^{12201000000201} is an apocalyptic number.

It is an amenable number.

12201000000201 is a deficient number, since it is larger than the sum of its proper divisors (5439446601759).

12201000000201 is a wasteful number, since it uses less digits than its factorization.

12201000000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80777 (or 80774 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12201000000201 its reverse (10200000010221), we get a palindrome (22401000010422).

The spelling of 12201000000201 in words is "twelve trillion, two hundred one billion, two hundred one", and thus it is an aban number.