1011000001001 has 4 divisors (see below), whose sum is σ = 1030075472772. Its totient is φ = 991924529232.

The previous prime is 1011000000979. The next prime is 1011000001013. The reversal of 1011000001001 is 1001000001101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 914555592976 + 96444408025 = 956324^2 + 310555^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011000001001 - 2¹⁸ = 1010999738857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011000001021) 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, 9537735806 + ... + 9537735911.

It is an arithmetic number, because the mean of its divisors is an integer number (257518868193).

Almost surely, 2^{1011000001001} is an apocalyptic number.

It is an amenable number.

1011000001001 is a deficient number, since it is larger than the sum of its proper divisors (19075471771).

1011000001001 is an equidigital number, since it uses as much as digits as its factorization.

1011000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19075471770.

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

Adding to 1011000001001 its reverse (1001000001101), we get a palindrome (2012000002102).

The spelling of 1011000001001 in words is "one trillion, eleven billion, one thousand, one".