11111111110000 has 400 divisors, whose sum is σ = 30176689568256. Its totient is φ = 3926880000000.

The previous prime is 11111111109979. The next prime is 11111111110031. The reversal of 11111111110000 is 1111111111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1222205455 + ... + 1222214545.

Almost surely, 2^{11111111110000} is an apocalyptic number.

11111111110000 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 11111111110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15088344784128).

11111111110000 is an abundant number, since it is smaller than the sum of its proper divisors (19065578458256).

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

11111111110000 is a wasteful number, since it uses less digits than its factorization.

11111111110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 11111111110000 its reverse (1111111111), we get a palindrome (11112222221111).

11111111110000 divided by its reverse (1111111111) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 111111111 and 10000, that added together give a palindrome (111121111).

The spelling of 11111111110000 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred ten thousand".