100100009985 has 16 divisors (see below), whose sum is σ = 161421121536. Its totient is φ = 52966303488.

The previous prime is 100100009983. The next prime is 100100009993. The reversal of 100100009985 is 589900001001.

It is not a de Polignac number, because 100100009985 - 2¹ = 100100009983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100100009983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26271064 + ... + 26274873.

It is an arithmetic number, because the mean of its divisors is an integer number (10088820096).

Almost surely, 2^100100009985 is an apocalyptic number.

100100009985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100100009985 is a deficient number, since it is larger than the sum of its proper divisors (61321111551).

100100009985 is a wasteful number, since it uses less digits than its factorization.

100100009985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52546072.

The product of its (nonzero) digits is 3240, while the sum is 33.

The spelling of 100100009985 in words is "one hundred billion, one hundred million, nine thousand, nine hundred eighty-five".