2001000100001 has 4 divisors (see below), whose sum is σ = 2286857257152. Its totient is φ = 1715142942852.

The previous prime is 2001000099997. The next prime is 2001000100007. The reversal of 2001000100001 is 1000010001002.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2001000100001 - 2² = 2001000099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2001000100007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142928578565 + ... + 142928578578.

It is an arithmetic number, because the mean of its divisors is an integer number (571714314288).

Almost surely, 2^{2001000100001} is an apocalyptic number.

It is an amenable number.

2001000100001 is a deficient number, since it is larger than the sum of its proper divisors (285857157151).

2001000100001 is an equidigital number, since it uses as much as digits as its factorization.

2001000100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285857157150.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 2001000100001 its reverse (1000010001002), we get a palindrome (3001010101003).

The spelling of 2001000100001 in words is "two trillion, one billion, one hundred thousand, one".