11010111111000 has 256 divisors, whose sum is σ = 38177757820800. Its totient is φ = 2935308672000.

The previous prime is 11010111110959. The next prime is 11010111111089. The reversal of 11010111111000 is 11111101011.

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 63 ways as a sum of consecutive naturals, for example, 114783060 + ... + 114878940.

Almost surely, 2^{11010111111000} is an apocalyptic number.

11010111111000 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 11010111111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19088878910400).

11010111111000 is an abundant number, since it is smaller than the sum of its proper divisors (27167646709800).

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

11010111111000 is a wasteful number, since it uses less digits than its factorization.

11010111111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100164 (or 100144 counting only the distinct ones).

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

Adding to 11010111111000 its reverse (11111101011), we get a palindrome (11021222212011).

The spelling of 11010111111000 in words is "eleven trillion, ten billion, one hundred eleven million, one hundred eleven thousand".