100111001985 has 24 divisors (see below), whose sum is σ = 173543610240. Its totient is φ = 53387034912.

The previous prime is 100111001959. The next prime is 100111001999. The reversal of 100111001985 is 589100111001.

It is not a de Polignac number, because 100111001985 - 2¹⁰ = 100111000961 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 347662 + ... + 566648.

It is an arithmetic number, because the mean of its divisors is an integer number (7230983760).

Almost surely, 2^100111001985 is an apocalyptic number.

100111001985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100111001985 is a deficient number, since it is larger than the sum of its proper divisors (73432608255).

100111001985 is a wasteful number, since it uses less digits than its factorization.

100111001985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229157 (or 229154 counting only the distinct ones).

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

Adding to 100111001985 its reverse (589100111001), we get a palindrome (689211112986).

The spelling of 100111001985 in words is "one hundred billion, one hundred eleven million, one thousand, nine hundred eighty-five".