100101100999 has 8 divisors (see below), whose sum is σ = 100418296880. Its totient is φ = 99784166976.

The previous prime is 100101100997. The next prime is 100101101059. The reversal of 100101100999 is 999001101001.

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

It is a cyclic number.

It is not a de Polignac number, because 100101100999 - 2¹ = 100101100997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101100993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714964 + ... + 843430.

It is an arithmetic number, because the mean of its divisors is an integer number (12552287110).

Almost surely, 2^100101100999 is an apocalyptic number.

100101100999 is a deficient number, since it is larger than the sum of its proper divisors (317195881).

100101100999 is a wasteful number, since it uses less digits than its factorization.

100101100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130929.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 100101100999 in words is "one hundred billion, one hundred one million, one hundred thousand, nine hundred ninety-nine".