2002000200001 has 8 divisors (see below), whose sum is σ = 2127063667680. Its totient is φ = 1878906235968.

The previous prime is 2002000199989. The next prime is 2002000200017. The reversal of 2002000200001 is 1000020002002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2002000200001 - 2¹³ = 2002000191809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002000200061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492373816 + ... + 492377881.

It is an arithmetic number, because the mean of its divisors is an integer number (265882958460).

Almost surely, 2^{2002000200001} is an apocalyptic number.

It is an amenable number.

2002000200001 is a deficient number, since it is larger than the sum of its proper divisors (125063467679).

2002000200001 is a wasteful number, since it uses less digits than its factorization.

2002000200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984751823.

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2002000200001 its reverse (1000020002002), we get a palindrome (3002020202003).

The spelling of 2002000200001 in words is "two trillion, two billion, two hundred thousand, one".