11103331221000 has 384 divisors, whose sum is σ = 38557596036960. Its totient is φ = 2879815680000.

The previous prime is 11103331220983. The next prime is 11103331221007. The reversal of 11103331221000 is 12213330111.

11103331221000 is a `hidden beast` number, since 1 + 110 + 3 + 331 + 221 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 89866849284 + 11013464371716 = 299778^2 + 3318654^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11103331221007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1398929032 + ... + 1398936968.

Almost surely, 2^{11103331221000} is an apocalyptic number.

11103331221000 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 11103331221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278798018480).

11103331221000 is an abundant number, since it is smaller than the sum of its proper divisors (27454264815960).

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

11103331221000 is a wasteful number, since it uses less digits than its factorization.

11103331221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12202 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11103331221000 its reverse (12213330111), we get a palindrome (11115544551111).

Subtracting from 11103331221000 its reverse (12213330111), we obtain a square (11091117890889 = 3330333²).

The spelling of 11103331221000 in words is "eleven trillion, one hundred three billion, three hundred thirty-one million, two hundred twenty-one thousand".