2002201100003 has 12 divisors (see below), whose sum is σ = 2198600037648. Its totient is φ = 1822154836320.

The previous prime is 2002201099963. The next prime is 2002201100023. The reversal of 2002201100003 is 3000011022002.

It is a happy number.

It is not a de Polignac number, because 2002201100003 - 2⁶ = 2002201099939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002201100023) 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 11 ways as a sum of consecutive naturals, for example, 83420000 + ... + 83443997.

It is an arithmetic number, because the mean of its divisors is an integer number (183216669804).

Almost surely, 2^{2002201100003} is an apocalyptic number.

2002201100003 is a deficient number, since it is larger than the sum of its proper divisors (196398937645).

2002201100003 is a wasteful number, since it uses less digits than its factorization.

2002201100003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166864094 (or 166864081 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 2002201100003 its reverse (3000011022002), we get a palindrome (5002212122005).

The spelling of 2002201100003 in words is "two trillion, two billion, two hundred one million, one hundred thousand, three".