11010221121200 has 240 divisors, whose sum is σ = 30372520320000. Its totient is φ = 3757267691520.

The previous prime is 11010221121169. The next prime is 11010221121203. The reversal of 11010221121200 is 212112201011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11010221121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2368296476 + ... + 2368301124.

It is an arithmetic number, because the mean of its divisors is an integer number (126552168000).

Almost surely, 2^{11010221121200} is an apocalyptic number.

11010221121200 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 11010221121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186260160000).

11010221121200 is an abundant number, since it is smaller than the sum of its proper divisors (19362299198800).

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

11010221121200 is a wasteful number, since it uses less digits than its factorization.

11010221121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8441 counting only the distinct ones).

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

Adding to 11010221121200 its reverse (212112201011), we get a palindrome (11222333322211).

It can be divided in two parts, 1101022 and 1121200, that added together give a palindrome (2222222).

The spelling of 11010221121200 in words is "eleven trillion, ten billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".