100110010985 has 32 divisors (see below), whose sum is σ = 123575911200. Its totient is φ = 77809213440.

The previous prime is 100110010969. The next prime is 100110010997. The reversal of 100110010985 is 589010011001.

It can be written as a sum of positive squares in 16 ways, for example, as 10835144464 + 89274866521 = 104092^2 + 298789^2 .

It is not a de Polignac number, because 100110010985 - 2⁴ = 100110010969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77664221 + ... + 77665509.

It is an arithmetic number, because the mean of its divisors is an integer number (3861747225).

Almost surely, 2^100110010985 is an apocalyptic number.

It is an amenable number.

100110010985 is a deficient number, since it is larger than the sum of its proper divisors (23465900215).

100110010985 is a wasteful number, since it uses less digits than its factorization.

100110010985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621.

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

Adding to 100110010985 its reverse (589010011001), we get a palindrome (689120021986).

The spelling of 100110010985 in words is "one hundred billion, one hundred ten million, ten thousand, nine hundred eighty-five".