101100000985 has 4 divisors (see below), whose sum is σ = 121320001188. Its totient is φ = 80880000784.

The previous prime is 101100000961. The next prime is 101100001027. The reversal of 101100000985 is 589000001101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 589000001101 = 459913 ⋅1280677.

It can be written as a sum of positive squares in 2 ways, for example, as 27613465929 + 73486535056 = 166173^2 + 271084^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100000985 - 2⁹ = 101100000473 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 (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10110000094 + ... + 10110000103.

It is an arithmetic number, because the mean of its divisors is an integer number (30330000297).

Almost surely, 2^101100000985 is an apocalyptic number.

It is an amenable number.

101100000985 is a deficient number, since it is larger than the sum of its proper divisors (20220000203).

101100000985 is an equidigital number, since it uses as much as digits as its factorization.

101100000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20220000202.

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

The spelling of 101100000985 in words is "one hundred one billion, one hundred million, nine hundred eighty-five", and thus it is an aban number.