110010001100 has 72 divisors (see below), whose sum is σ = 241734194688. Its totient is φ = 43449307200.

The previous prime is 110010001097. The next prime is 110010001151. The reversal of 110010001100 is 1100010011.

110010001100 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 (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23959805 + ... + 23964395.

Almost surely, 2^110010001100 is an apocalyptic number.

110010001100 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 110010001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120867097344).

110010001100 is an abundant number, since it is smaller than the sum of its proper divisors (131724193588).

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

110010001100 is a wasteful number, since it uses less digits than its factorization.

110010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110010001100 its reverse (1100010011), we get a palindrome (111110011111).

The spelling of 110010001100 in words is "one hundred ten billion, ten million, one thousand, one hundred".