100011000111000 has 768 divisors, whose sum is σ = 353812145057280. Its totient is φ = 23485182336000.

The previous prime is 100011000110999. The next prime is 100011000111007. The reversal of 100011000111000 is 111000110001.

100011000111000 is digitally balanced in base 6, 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100011000111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000111007) 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 191 ways as a sum of consecutive naturals, for example, 3048820599 + ... + 3048853401.

It is an arithmetic number, because the mean of its divisors is an integer number (460692897210).

Almost surely, 2^{100011000111000} is an apocalyptic number.

100011000111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176906072528640).

100011000111000 is an abundant number, since it is smaller than the sum of its proper divisors (253801144946280).

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

100011000111000 is a wasteful number, since it uses less digits than its factorization.

100011000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33113 (or 33088 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100011000111000 its reverse (111000110001), we get a palindrome (100122000221001).

Subtracting from 100011000111000 its reverse (111000110001), we obtain a palindrome (99900000000999).

The spelling of 100011000111000 in words is "one hundred trillion, eleven billion, one hundred eleven thousand".