11202000210000 has 300 divisors, whose sum is σ = 40008538819392. Its totient is φ = 2923641504000.

The previous prime is 11202000209941. The next prime is 11202000210007. The reversal of 11202000210000 is 1200020211.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202000210007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2905887 + ... + 5554113.

Almost surely, 2^{11202000210000} is an apocalyptic number.

11202000210000 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 11202000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20004269409696).

11202000210000 is an abundant number, since it is smaller than the sum of its proper divisors (28806538609392).

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

11202000210000 is a wasteful number, since it uses less digits than its factorization.

11202000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648308 (or 2648284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11202000210000 its reverse (1200020211), we get a palindrome (11203200230211).

The spelling of 11202000210000 in words is "eleven trillion, two hundred two billion, two hundred ten thousand".