100100100016985 has 8 divisors (see below), whose sum is σ = 120120182134656. Its totient is φ = 80080038604080.

The previous prime is 100100100016963. The next prime is 100100100017011. The reversal of 100100100016985 is 589610001001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100100100016985 - 2¹⁴ = 100100100000601 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8979200 + ... + 16757870.

It is an arithmetic number, because the mean of its divisors is an integer number (15015022766832).

Almost surely, 2^{100100100016985} is an apocalyptic number.

It is an amenable number.

100100100016985 is a deficient number, since it is larger than the sum of its proper divisors (20020082117671).

100100100016985 is an equidigital number, since it uses as much as digits as its factorization.

100100100016985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352383.

The product of its (nonzero) digits is 2160, while the sum is 32.

Adding to 100100100016985 its reverse (589610001001001), we get a palindrome (689710101017986).

The spelling of 100100100016985 in words is "one hundred trillion, one hundred billion, one hundred million, sixteen thousand, nine hundred eighty-five".