11202101200000 has 192 divisors, whose sum is σ = 28420429179240. Its totient is φ = 4396288000000.

The previous prime is 11202101199983. The next prime is 11202101200007. The reversal of 11202101200000 is 210120211.

It can be written as a sum of positive squares in 12 ways, for example, as 1175454945856 + 10026646254144 = 1084184^2 + 3166488^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11202101200000.

It is not an unprimeable number, because it can be changed into a prime (11202101200007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20935800 + ... + 21464200.

Almost surely, 2^{11202101200000} is an apocalyptic number.

11202101200000 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 11202101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210214589620).

11202101200000 is an abundant number, since it is smaller than the sum of its proper divisors (17218327979240).

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

11202101200000 is an frugal number, since it uses more digits than its factorization.

11202101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528493 (or 528461 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11202101200000 its reverse (210120211), we get a palindrome (11202311320211).

The spelling of 11202101200000 in words is "eleven trillion, two hundred two billion, one hundred one million, two hundred thousand".