100011111000000 has 784 divisors, whose sum is σ = 351426329810400. Its totient is φ = 25053235200000.

The previous prime is 100011110999923. The next prime is 100011111000013. The reversal of 100011111000000 is 111110001.

100011111000000 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 (6).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3218984466 + ... + 3219015534.

Almost surely, 2^{100011111000000} is an apocalyptic number.

100011111000000 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 100011111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175713164905200).

100011111000000 is an abundant number, since it is smaller than the sum of its proper divisors (251415218810400).

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

100011111000000 is an frugal number, since it uses more digits than its factorization.

100011111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31180 (or 31145 counting only the distinct ones).

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

Adding to 100011111000000 its reverse (111110001), we get a palindrome (100011222110001).

The spelling of 100011111000000 in words is "one hundred trillion, eleven billion, one hundred eleven million", and thus it is an aban number.