11102203200000 has 960 divisors, whose sum is σ = 40526620130304. Its totient is φ = 2678323200000.

The previous prime is 11102203199921. The next prime is 11102203200013. The reversal of 11102203200000 is 230220111.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14942399629 + ... + 14942400371.

Almost surely, 2^{11102203200000} is an apocalyptic number.

11102203200000 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 11102203200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263310065152).

11102203200000 is an abundant number, since it is smaller than the sum of its proper divisors (29424416930304).

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

11102203200000 is an frugal number, since it uses more digits than its factorization.

11102203200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11102203200000 its reverse (230220111), we get a palindrome (11102433420111).

The spelling of 11102203200000 in words is "eleven trillion, one hundred two billion, two hundred three million, two hundred thousand".