11200220010210 has 256 divisors, whose sum is σ = 34341948297216. Its totient is φ = 2269816320000.

The previous prime is 11200220010181. The next prime is 11200220010211. The reversal of 11200220010210 is 1201002200211.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11200220010211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319249870 + ... + 319284950.

It is an arithmetic number, because the mean of its divisors is an integer number (134148235536).

Almost surely, 2^{11200220010210} is an apocalyptic number.

11200220010210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200220010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17170974148608).

11200220010210 is an abundant number, since it is smaller than the sum of its proper divisors (23141728287006).

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

11200220010210 is a wasteful number, since it uses less digits than its factorization.

11200220010210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38521.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11200220010210 its reverse (1201002200211), we get a palindrome (12401222210421).

The spelling of 11200220010210 in words is "eleven trillion, two hundred billion, two hundred twenty million, ten thousand, two hundred ten".