100102000209985 has 32 divisors (see below), whose sum is σ = 128254985798400. Its totient is φ = 74838391584000.

The previous prime is 100102000209961. The next prime is 100102000210007. The reversal of 100102000209985 is 589902000201001.

It is not a de Polignac number, because 100102000209985 - 2⁴⁵ = 64917628121153 is a prime.

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 31 ways as a sum of consecutive naturals, for example, 46839691 + ... + 48930160.

It is an arithmetic number, because the mean of its divisors is an integer number (4007968306200).

Almost surely, 2^{100102000209985} is an apocalyptic number.

It is an amenable number.

100102000209985 is a deficient number, since it is larger than the sum of its proper divisors (28152985588415).

100102000209985 is a wasteful number, since it uses less digits than its factorization.

100102000209985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95770089.

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 100102000209985 in words is "one hundred trillion, one hundred two billion, two hundred nine thousand, nine hundred eighty-five".