11202200210000 has 100 divisors (see below), whose sum is σ = 27123809527584. Its totient is φ = 4480522800000.

The previous prime is 11202200209987. The next prime is 11202200210009. The reversal of 11202200210000 is 1200220211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202200210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150872885 + ... + 150947115.

Almost surely, 2^{11202200210000} is an apocalyptic number.

11202200210000 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 11202200210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561904763792).

11202200210000 is an abundant number, since it is smaller than the sum of its proper divisors (15921609317584).

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

11202200210000 is an equidigital number, since it uses as much as digits as its factorization.

11202200210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89350 (or 89329 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11202200210000 its reverse (1200220211), we get a palindrome (11203400430211).

The spelling of 11202200210000 in words is "eleven trillion, two hundred two billion, two hundred million, two hundred ten thousand".