100110001099985 has 64 divisors (see below), whose sum is σ = 130754925465600. Its totient is φ = 73320767136000.

The previous prime is 100110001099973. The next prime is 100110001100029. The reversal of 100110001099985 is 589990100011001.

It is not a de Polignac number, because 100110001099985 - 2²⁰ = 100110000051409 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 63 ways as a sum of consecutive naturals, for example, 4054501490 + ... + 4054526180.

It is an arithmetic number, because the mean of its divisors is an integer number (2043045710400).

Almost surely, 2^{100110001099985} is an apocalyptic number.

It is an amenable number.

100110001099985 is a deficient number, since it is larger than the sum of its proper divisors (30644924365615).

100110001099985 is a wasteful number, since it uses less digits than its factorization.

100110001099985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32542.

The product of its (nonzero) digits is 29160, while the sum is 44.

The spelling of 100110001099985 in words is "one hundred trillion, one hundred ten billion, one million, ninety-nine thousand, nine hundred eighty-five".