11022121102200 has 384 divisors, whose sum is σ = 36953913131520. Its totient is φ = 2701581465600.

The previous prime is 11022121102177. The next prime is 11022121102231. The reversal of 11022121102200 is 220112122011.

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 11022121102200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3464984610 + ... + 3464987790.

It is an arithmetic number, because the mean of its divisors is an integer number (96234148780).

Almost surely, 2^{11022121102200} is an apocalyptic number.

11022121102200 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 11022121102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18476956565760).

11022121102200 is an abundant number, since it is smaller than the sum of its proper divisors (25931792029320).

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

11022121102200 is a wasteful number, since it uses less digits than its factorization.

11022121102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4958 counting only the distinct ones).

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

Adding to 11022121102200 its reverse (220112122011), we get a palindrome (11242233224211).

The spelling of 11022121102200 in words is "eleven trillion, twenty-two billion, one hundred twenty-one million, one hundred two thousand, two hundred".