11210221012200 has 768 divisors, whose sum is σ = 41092741324800. Its totient is φ = 2475496857600.

The previous prime is 11210221012187. The next prime is 11210221012219. The reversal of 11210221012200 is 221012201211.

It is a super-3 number, since 3×11210221012200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11210221012200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3173001634 + ... + 3173005166.

It is an arithmetic number, because the mean of its divisors is an integer number (53506173600).

Almost surely, 2^{11210221012200} is an apocalyptic number.

11210221012200 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 11210221012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546370662400).

11210221012200 is an abundant number, since it is smaller than the sum of its proper divisors (29882520312600).

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

11210221012200 is a wasteful number, since it uses less digits than its factorization.

11210221012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11210221012200 its reverse (221012201211), we get a palindrome (11431233213411).

The spelling of 11210221012200 in words is "eleven trillion, two hundred ten billion, two hundred twenty-one million, twelve thousand, two hundred".