100111100000985 has 48 divisors (see below), whose sum is σ = 180142818238656. Its totient is φ = 53336205286848.

The previous prime is 100111100000953. The next prime is 100111100000999. The reversal of 100111100000985 is 589000001111001.

It is not a de Polignac number, because 100111100000985 - 2⁵ = 100111100000953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42353074 + ... + 44654283.

It is an arithmetic number, because the mean of its divisors is an integer number (3752975379972).

Almost surely, 2^{100111100000985} is an apocalyptic number.

100111100000985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100111100000985 is a deficient number, since it is larger than the sum of its proper divisors (80031718237671).

100111100000985 is an frugal number, since it uses more digits than its factorization.

100111100000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87008324 (or 87008312 counting only the distinct ones).

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

Adding to 100111100000985 its reverse (589000001111001), we get a palindrome (689111101111986).

The spelling of 100111100000985 in words is "one hundred trillion, one hundred eleven billion, one hundred million, nine hundred eighty-five", and thus it is an aban number.