100111017006 has 96 divisors (see below), whose sum is σ = 291232101888. Its totient is φ = 24002637120.

The previous prime is 100111016981. The next prime is 100111017023. The reversal of 100111017006 is 600710111001.

100111017006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100111017006.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 2760066 + ... + 2796101.

It is an arithmetic number, because the mean of its divisors is an integer number (3033667728).

Almost surely, 2^100111017006 is an apocalyptic number.

100111017006 is an abundant number, since it is smaller than the sum of its proper divisors (191121084882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100111017006 is a wasteful number, since it uses less digits than its factorization.

100111017006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556206 (or 5556203 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

Adding to 100111017006 its reverse (600710111001), we get a palindrome (700821128007).

The spelling of 100111017006 in words is "one hundred billion, one hundred eleven million, seventeen thousand, six".