1100001000985 has 16 divisors (see below), whose sum is σ = 1333941210000. Its totient is φ = 870711975936.

The previous prime is 1100001000953. The next prime is 1100001001061. The reversal of 1100001000985 is 5890001000011.

It can be written as a sum of positive squares in 8 ways, for example, as 1887728704 + 1098113272281 = 43448^2 + 1047909^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100001000985 - 2⁵ = 1100001000953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683691 + ... + 2243839.

It is an arithmetic number, because the mean of its divisors is an integer number (83371325625).

Almost surely, 2^{1100001000985} is an apocalyptic number.

It is an amenable number.

1100001000985 is a deficient number, since it is larger than the sum of its proper divisors (233940209015).

1100001000985 is an equidigital number, since it uses as much as digits as its factorization.

1100001000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564300.

The product of its (nonzero) digits is 360, while the sum is 25.

Adding to 1100001000985 its reverse (5890001000011), we get a palindrome (6990002000996).

The spelling of 1100001000985 in words is "one trillion, one hundred billion, one million, nine hundred eighty-five", and thus it is an aban number.