100001100010985 has 8 divisors (see below), whose sum is σ = 127060221190536. Its totient is φ = 75294945890560.

The previous prime is 100001100010963. The next prime is 100001100010991. The reversal of 100001100010985 is 589010001100001.

It can be written as a sum of positive squares in 4 ways, for example, as 34172477392729 + 65828622618256 = 5845723^2 + 8113484^2 .

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

It is not a de Polignac number, because 100001100010985 - 2¹⁰ = 100001100009961 is a prime.

It is a Duffinian number.

It is a Curzon 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, 588241764686 + ... + 588241764855.

It is an arithmetic number, because the mean of its divisors is an integer number (15882527648817).

Almost surely, 2^{100001100010985} is an apocalyptic number.

It is an amenable number.

100001100010985 is a deficient number, since it is larger than the sum of its proper divisors (27059121179551).

100001100010985 is a wasteful number, since it uses less digits than its factorization.

100001100010985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176483529563.

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

Adding to 100001100010985 its reverse (589010001100001), we get a palindrome (689011101110986).

The spelling of 100001100010985 in words is "one hundred trillion, one billion, one hundred million, ten thousand, nine hundred eighty-five".