1001000001 has 8 divisors (see below), whose sum is σ = 1413176544. Its totient is φ = 628078400.

The previous prime is 1000999949. The next prime is 1001000027. The reversal of 1001000001 is 1000001001.

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 1001000001 - 2¹⁴ = 1000983617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a self number, because there is not a number n which added to its sum of digits gives 1001000001.

It is not an unprimeable number, because it can be changed into a prime (1001000051) 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, 9813675 + ... + 9813776.

It is an arithmetic number, because the mean of its divisors is an integer number (176647068).

Almost surely, 2^1001000001 is an apocalyptic number.

It is an amenable number.

1001000001 is a deficient number, since it is larger than the sum of its proper divisors (412176543).

1001000001 is a wasteful number, since it uses less digits than its factorization.

1001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19627471.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1001000001 is about 31638.5840549162. The cubic root of 1001000001 is about 1000.3332226170. Note that the first 3 decimals are identical.

Adding to 1001000001 its reverse (1000001001), we get a palindrome (2001001002).

The spelling of 1001000001 in words is "one billion, one million, one", and thus it is an aban number and an uban number.