11111111100000 has 432 divisors, whose sum is σ = 40561526927376. Its totient is φ = 2882874240000.

The previous prime is 11111111099989. The next prime is 11111111100071. The reversal of 11111111100000 is 111111111.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33133167 + ... + 33466833.

It is an arithmetic number, because the mean of its divisors is an integer number (93892423443).

Almost surely, 2^{11111111100000} is an apocalyptic number.

11111111100000 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 11111111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20280763463688).

11111111100000 is an abundant number, since it is smaller than the sum of its proper divisors (29450415827376).

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

11111111100000 is an equidigital number, since it uses as much as digits as its factorization.

11111111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333745 (or 333714 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11111111100000 its reverse (111111111), we get a palindrome (11111222211111).

11111111100000 divided by its reverse (111111111) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 11111 and 111100000, that added together give a palindrome (111111111).

The spelling of 11111111100000 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand".