1001001000001 has 8 divisors (see below), whose sum is σ = 1001415590208. Its totient is φ = 1000586490000.

The previous prime is 1001000999987. The next prime is 1001001000019. The reversal of 1001001000001 is 1000001001001.

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 1001001000001 - 2³⁹ = 451245186113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001001000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39613711 + ... + 39638971.

It is an arithmetic number, because the mean of its divisors is an integer number (125176948776).

Almost surely, 2^{1001001000001} is an apocalyptic number.

It is an amenable number.

1001001000001 is a deficient number, since it is larger than the sum of its proper divisors (414590207).

1001001000001 is a wasteful number, since it uses less digits than its factorization.

1001001000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40103.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1001001000001 its reverse (1000001001001), we get a palindrome (2001002001002).

The spelling of 1001001000001 in words is "one trillion, one billion, one million, one", and thus it is an aban number and an uban number.