101111000985 has 24 divisors (see below), whose sum is σ = 175323455424. Its totient is φ = 53906055840.

The previous prime is 101111000959. The next prime is 101111001001. The reversal of 101111000985 is 589000111101.

It is not a de Polignac number, because 101111000985 - 2⁵ = 101111000953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288477 + ... + 534266.

It is an arithmetic number, because the mean of its divisors is an integer number (7305143976).

Almost surely, 2^101111000985 is an apocalyptic number.

101111000985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101111000985 is a deficient number, since it is larger than the sum of its proper divisors (74212454439).

101111000985 is a wasteful number, since it uses less digits than its factorization.

101111000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825485 (or 825482 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The spelling of 101111000985 in words is "one hundred one billion, one hundred eleven million, nine hundred eighty-five", and thus it is an aban number.