100111000000985 has 8 divisors (see below), whose sum is σ = 120133317827400. Its totient is φ = 80088721449984.

The previous prime is 100111000000967. The next prime is 100111000000997. The reversal of 100111000000985 is 589000000111001.

It can be written as a sum of positive squares in 4 ways, for example, as 33735500883529 + 66375499117456 = 5808227^2 + 8147116^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111000000985 - 2¹⁴ = 100110999984601 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3885182 + ... + 14673671.

It is an arithmetic number, because the mean of its divisors is an integer number (15016664728425).

Almost surely, 2^{100111000000985} is an apocalyptic number.

It is an amenable number.

100111000000985 is a deficient number, since it is larger than the sum of its proper divisors (20022317826415).

100111000000985 is a wasteful number, since it uses less digits than its factorization.

100111000000985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19637707.

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

Adding to 100111000000985 its reverse (589000000111001), we get a palindrome (689111000111986).

The spelling of 100111000000985 in words is "one hundred trillion, one hundred eleven billion, nine hundred eighty-five", and thus it is an aban number.