11021112122200 has 192 divisors, whose sum is σ = 26225280537120. Its totient is φ = 4306298880000.

The previous prime is 11021112122177. The next prime is 11021112122221. The reversal of 11021112122200 is 222121112011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2094867570 + ... + 2094872830.

Almost surely, 2^{11021112122200} is an apocalyptic number.

11021112122200 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 11021112122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112640268560).

11021112122200 is an abundant number, since it is smaller than the sum of its proper divisors (15204168414920).

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

11021112122200 is a wasteful number, since it uses less digits than its factorization.

11021112122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11021112122200 its reverse (222121112011), we get a palindrome (11243233234211).

The spelling of 11021112122200 in words is "eleven trillion, twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred".