1001001001001 has 16 divisors (see below), whose sum is σ = 1062399830016. Its totient is φ = 941595840000.

The previous prime is 1001001000947. The next prime is 1001001001037.

1001001001001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1001001001001 - 2¹⁴ = 1001000984617 is a prime.

1001001001001 is a strobogrammatic number because it is the same when read upside-down.

1001001001001 is a modest number, since divided by 1001001 gives 1001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1001001001061) by changing a digit.

It is a nontrivial repunit in base 1000.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108640 + ... + 1797521.

It is an arithmetic number, because the mean of its divisors is an integer number (66399989376).

Almost surely, 2^{1001001001001} is an apocalyptic number.

It is an amenable number.

1001001001001 is a deficient number, since it is larger than the sum of its proper divisors (61398829015).

1001001001001 is a wasteful number, since it uses less digits than its factorization.

1001001001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906504.

The product of its (nonzero) digits is 1, while the sum is 5.

The spelling of 1001001001001 in words is "one trillion, one billion, one million, one thousand, one".