11101101100000 has 144 divisors (see below), whose sum is σ = 27322587617472. Its totient is φ = 4439592000000.

The previous prime is 11101101099947. The next prime is 11101101100043. The reversal of 11101101100000 is 110110111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 939094090 + ... + 939105910.

It is an arithmetic number, because the mean of its divisors is an integer number (189740191788).

Almost surely, 2^{11101101100000} is an apocalyptic number.

11101101100000 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 11101101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661293808736).

11101101100000 is an abundant number, since it is smaller than the sum of its proper divisors (16221486517472).

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

11101101100000 is an frugal number, since it uses more digits than its factorization.

11101101100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21247 (or 21219 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11101101100000 its reverse (110110111), we get a palindrome (11101211210111).

It can be divided in two parts, 11101 and 101100000, that added together give a palindrome (101111101).

The spelling of 11101101100000 in words is "eleven trillion, one hundred one billion, one hundred one million, one hundred thousand".