2001200201001 has 10 divisors (see below), whose sum is σ = 2989447213962. Its totient is φ = 1334133467280.

The previous prime is 2001200200999. The next prime is 2001200201029. The reversal of 2001200201001 is 1001020021002.

It can be written as a sum of positive squares in only one way, i.e., 1057483155600 + 943717045401 = 1028340^2 + 971451^2 .

It is not a de Polignac number, because 2001200201001 - 2¹ = 2001200200999 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 (2001208201001) 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 9 ways as a sum of consecutive naturals, for example, 12353087580 + ... + 12353087741.

Almost surely, 2^{2001200201001} is an apocalyptic number.

It is an amenable number.

2001200201001 is a deficient number, since it is larger than the sum of its proper divisors (988247012961).

2001200201001 is an equidigital number, since it uses as much as digits as its factorization.

2001200201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24706175333 (or 24706175324 counting only the distinct ones).

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

Adding to 2001200201001 its reverse (1001020021002), we get a palindrome (3002220222003).

The spelling of 2001200201001 in words is "two trillion, one billion, two hundred million, two hundred one thousand, one".