11101200000 has 576 divisors, whose sum is σ = 41642022240. Its totient is φ = 2598400000.

The previous prime is 11101199999. The next prime is 11101200013. The reversal of 11101200000 is 210111.

11101200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382799986 + ... + 382800014.

Almost surely, 2^11101200000 is an apocalyptic number.

11101200000 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 11101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821011120).

11101200000 is an abundant number, since it is smaller than the sum of its proper divisors (30540822240).

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

11101200000 is an frugal number, since it uses more digits than its factorization.

11101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11101200000 its reverse (210111), we get a palindrome (11101410111).

The spelling of 11101200000 in words is "eleven billion, one hundred one million, two hundred thousand".