100011011101100 has 288 divisors, whose sum is σ = 242030290444992. Its totient is φ = 35566110720000.

The previous prime is 100011011101039. The next prime is 100011011101159. The reversal of 100011011101100 is 1101110110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10352030270 + ... + 10352039930.

It is an arithmetic number, because the mean of its divisors is an integer number (840382952934).

Almost surely, 2^{100011011101100} is an apocalyptic number.

100011011101100 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 100011011101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121015145222496).

100011011101100 is an abundant number, since it is smaller than the sum of its proper divisors (142019279343892).

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

100011011101100 is a wasteful number, since it uses less digits than its factorization.

100011011101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10837 (or 10830 counting only the distinct ones).

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

Adding to 100011011101100 its reverse (1101110110001), we get a palindrome (101112121211101).

It can be divided in two parts, 10001 and 1011101100, that added together give a palindrome (1011111101).

The spelling of 100011011101100 in words is "one hundred trillion, eleven billion, eleven million, one hundred one thousand, one hundred".