11101101001100 has 72 divisors (see below), whose sum is σ = 26539525330416. Its totient is φ = 3996796000000.

The previous prime is 11101101001073. The next prime is 11101101001103. The reversal of 11101101001100 is 110010110111.

It is not an unprimeable number, because it can be changed into a prime (11101101001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49848851 + ... + 50071050.

It is an arithmetic number, because the mean of its divisors is an integer number (368604518478).

Almost surely, 2^{11101101001100} is an apocalyptic number.

11101101001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101101001100 is an abundant number, since it is smaller than the sum of its proper divisors (15438424329316).

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

11101101001100 is a wasteful number, since it uses less digits than its factorization.

11101101001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99920027 (or 99920020 counting only the distinct ones).

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

Adding to 11101101001100 its reverse (110010110111), we get a palindrome (11211111111211).

The spelling of 11101101001100 in words is "eleven trillion, one hundred one billion, one hundred one million, one thousand, one hundred".