110011100100 has 288 divisors, whose sum is σ = 367444815360. Its totient is φ = 25132032000.

The previous prime is 110011100063. The next prime is 110011100117. The reversal of 110011100100 is 1001110011.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12096555 + ... + 12105645.

Almost surely, 2^110011100100 is an apocalyptic number.

110011100100 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 110011100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183722407680).

110011100100 is an abundant number, since it is smaller than the sum of its proper divisors (257433715260).

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

110011100100 is a wasteful number, since it uses less digits than its factorization.

110011100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9331 (or 9324 counting only the distinct ones).

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

Adding to 110011100100 its reverse (1001110011), we get a palindrome (111012210111).

It can be divided in two parts, 11001 and 1100100, that multiplied together give a square (12102200100 = 110010²).

The spelling of 110011100100 in words is "one hundred ten billion, eleven million, one hundred thousand, one hundred".