100200010985 has 16 divisors (see below), whose sum is σ = 125819750736. Its totient is φ = 76521938688.

The previous prime is 100200010979. The next prime is 100200011011. The reversal of 100200010985 is 589010002001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1998000601 + 98202010384 = 44699^2 + 313372^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200010985 - 2¹² = 100200006889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099834 + ... + 5119443.

It is an arithmetic number, because the mean of its divisors is an integer number (7863734421).

Almost surely, 2^100200010985 is an apocalyptic number.

It is an amenable number.

100200010985 is a deficient number, since it is larger than the sum of its proper divisors (25619739751).

100200010985 is a wasteful number, since it uses less digits than its factorization.

100200010985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219372.

The product of its (nonzero) digits is 720, while the sum is 26.

Adding to 100200010985 its reverse (589010002001), we get a palindrome (689210012986).

The spelling of 100200010985 in words is "one hundred billion, two hundred million, ten thousand, nine hundred eighty-five".