110110001101100 has 432 divisors, whose sum is σ = 342257567488704. Its totient is φ = 29816465817600.

The previous prime is 110110001101069. The next prime is 110110001101123. The reversal of 110110001101100 is 1101100011011.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15777524 + ... + 21659876.

Almost surely, 2^{110110001101100} is an apocalyptic number.

110110001101100 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 110110001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171128783744352).

110110001101100 is an abundant number, since it is smaller than the sum of its proper divisors (232147566387604).

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

110110001101100 is a wasteful number, since it uses less digits than its factorization.

110110001101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882426 (or 5882408 counting only the distinct ones).

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

Adding to 110110001101100 its reverse (1101100011011), we get a palindrome (111211101112111).

110110001101100 divided by its reverse (1101100011011) gives a square (100 = 10²).

The spelling of 110110001101100 in words is "one hundred ten trillion, one hundred ten billion, one million, one hundred one thousand, one hundred".