11111111010000 has 500 divisors, whose sum is σ = 40207320813792. Its totient is φ = 2961362592000.

The previous prime is 11111111009963. The next prime is 11111111010059. The reversal of 11111111010000 is 1011111111.

It is a tau number, because it is divible by the number of its divisors (500).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2921668099 + ... + 2921671901.

Almost surely, 2^{11111111010000} is an apocalyptic number.

11111111010000 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 11111111010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20103660406896).

11111111010000 is an abundant number, since it is smaller than the sum of its proper divisors (29096209803792).

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

11111111010000 is an equidigital number, since it uses as much as digits as its factorization.

11111111010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 7420 counting only the distinct ones).

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

Adding to 11111111010000 its reverse (1011111111), we get a palindrome (11112122121111).

The spelling of 11111111010000 in words is "eleven trillion, one hundred eleven billion, one hundred eleven million, ten thousand".