1001001100985 has 16 divisors (see below), whose sum is σ = 1272005980416. Its totient is φ = 753608571648.

The previous prime is 1001001100961. The next prime is 1001001101003. The reversal of 1001001100985 is 5890011001001.

It is a cyclic number.

It is not a de Polignac number, because 1001001100985 - 2⁶ = 1001001100921 is a prime.

It is a Duffinian number.

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, 76142 + ... + 1416968.

It is an arithmetic number, because the mean of its divisors is an integer number (79500373776).

Almost surely, 2^{1001001100985} is an apocalyptic number.

It is an amenable number.

1001001100985 is a deficient number, since it is larger than the sum of its proper divisors (271004879431).

1001001100985 is a wasteful number, since it uses less digits than its factorization.

1001001100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349632.

The product of its (nonzero) digits is 360, while the sum is 26.

Adding to 1001001100985 its reverse (5890011001001), we get a palindrome (6891012101986).

The spelling of 1001001100985 in words is "one trillion, one billion, one million, one hundred thousand, nine hundred eighty-five".