2001200212201 has 16 divisors (see below), whose sum is σ = 2103413654160. Its totient is φ = 1901322823680.

The previous prime is 2001200212153. The next prime is 2001200212213. The reversal of 2001200212201 is 1022120021002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 423410490000 + 1577789722201 = 650700^2 + 1256101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001200212201 - 2¹³ = 2001200204009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001200212001) 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, 174910 + ... + 2008231.

It is an arithmetic number, because the mean of its divisors is an integer number (131463353385).

Almost surely, 2^{2001200212201} is an apocalyptic number.

It is an amenable number.

2001200212201 is a deficient number, since it is larger than the sum of its proper divisors (102213441959).

2001200212201 is a wasteful number, since it uses less digits than its factorization.

2001200212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183676.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2001200212201 its reverse (1022120021002), we get a palindrome (3023320233203).

The spelling of 2001200212201 in words is "two trillion, one billion, two hundred million, two hundred twelve thousand, two hundred one".