100100010985 has 32 divisors (see below), whose sum is σ = 130155822720. Its totient is φ = 73466265600.

The previous prime is 100100010919. The next prime is 100100011021. The reversal of 100100010985 is 589010001001.

It is not a de Polignac number, because 100100010985 - 2¹⁵ = 100099978217 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 31 ways as a sum of consecutive naturals, for example, 10542090 + ... + 10551580.

It is an arithmetic number, because the mean of its divisors is an integer number (4067369460).

Almost surely, 2^100100010985 is an apocalyptic number.

It is an amenable number.

100100010985 is a deficient number, since it is larger than the sum of its proper divisors (30055811735).

100100010985 is a wasteful number, since it uses less digits than its factorization.

100100010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489.

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

Adding to 100100010985 its reverse (589010001001), we get a palindrome (689110011986).

The spelling of 100100010985 in words is "one hundred billion, one hundred million, ten thousand, nine hundred eighty-five".