11201120011000 has 128 divisors (see below), whose sum is σ = 26713297540800. Its totient is φ = 4394571916800.

The previous prime is 11201120010979. The next prime is 11201120011001. The reversal of 11201120011000 is 11002110211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201120011001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183826539 + ... + 183887461.

Almost surely, 2^{11201120011000} is an apocalyptic number.

11201120011000 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 11201120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356648770400).

11201120011000 is an abundant number, since it is smaller than the sum of its proper divisors (15512177529800).

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

11201120011000 is a wasteful number, since it uses less digits than its factorization.

11201120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64466 (or 64452 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201120011000 its reverse (11002110211), we get a palindrome (11212122121211).

The spelling of 11201120011000 in words is "eleven trillion, two hundred one billion, one hundred twenty million, eleven thousand".