100111100111000 has 512 divisors, whose sum is σ = 272264758272000. Its totient is φ = 34071840000000.

The previous prime is 100111100110997. The next prime is 100111100111021. The reversal of 100111100111000 is 111001111001.

100111100111000 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 (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10111206050 + ... + 10111215950.

It is an arithmetic number, because the mean of its divisors is an integer number (531767106000).

Almost surely, 2^{100111100111000} is an apocalyptic number.

100111100111000 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 100111100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136132379136000).

100111100111000 is an abundant number, since it is smaller than the sum of its proper divisors (172153658161000).

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

100111100111000 is a wasteful number, since it uses less digits than its factorization.

100111100111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111100111000 its reverse (111001111001), we get a palindrome (100222101222001).

The spelling of 100111100111000 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred eleven thousand".