100100100000985 has 16 divisors (see below), whose sum is σ = 137280304944000. Its totient is φ = 68639984672256.

The previous prime is 100100100000973. The next prime is 100100100001039. The reversal of 100100100000985 is 589000001001001.

It is a cyclic number.

It is not a de Polignac number, because 100100100000985 - 2¹⁹ = 100100099476697 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44618601 + ... + 46808329.

It is an arithmetic number, because the mean of its divisors is an integer number (8580019059000).

Almost surely, 2^{100100100000985} is an apocalyptic number.

It is an amenable number.

100100100000985 is a deficient number, since it is larger than the sum of its proper divisors (37180204943015).

100100100000985 is a wasteful number, since it uses less digits than its factorization.

100100100000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495840.

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

Adding to 100100100000985 its reverse (589000001001001), we get a palindrome (689100101001986).

The spelling of 100100100000985 in words is "one hundred trillion, one hundred billion, one hundred million, nine hundred eighty-five", and thus it is an aban number.