110111011000100 has 144 divisors (see below), whose sum is σ = 266162254900416. Its totient is φ = 39203603712000.

The previous prime is 110111011000069. The next prime is 110111011000153. The reversal of 110111011000100 is 1000110111011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5996555 + ... + 16005645.

It is an arithmetic number, because the mean of its divisors is an integer number (1848348992364).

Almost surely, 2^{110111011000100} is an apocalyptic number.

110111011000100 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 110111011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133081127450208).

110111011000100 is an abundant number, since it is smaller than the sum of its proper divisors (156051243900316).

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

110111011000100 is a wasteful number, since it uses less digits than its factorization.

110111011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009326 (or 10009319 counting only the distinct ones).

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

Adding to 110111011000100 its reverse (1000110111011), we get a palindrome (111111121111111).

The spelling of 110111011000100 in words is "one hundred ten trillion, one hundred eleven billion, eleven million, one hundred", and thus it is an aban number.