11221111002200 has 768 divisors, whose sum is σ = 31310436003840. Its totient is φ = 3697993728000.

The previous prime is 11221111002161. The next prime is 11221111002251. The reversal of 11221111002200 is 220011112211.

It is a zygodrome in base 10.

It is a congruent number.

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, 15308473034 + ... + 15308473766.

It is an arithmetic number, because the mean of its divisors is an integer number (40768796880).

Almost surely, 2^{11221111002200} is an apocalyptic number.

11221111002200 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 11221111002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15655218001920).

11221111002200 is an abundant number, since it is smaller than the sum of its proper divisors (20089325001640).

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

11221111002200 is a wasteful number, since it uses less digits than its factorization.

11221111002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221111002200 its reverse (220011112211), we get a palindrome (11441122114411).

The spelling of 11221111002200 in words is "eleven trillion, two hundred twenty-one billion, one hundred eleven million, two thousand, two hundred".