11102001220000 has 240 divisors, whose sum is σ = 27864357582600. Its totient is φ = 4351633920000.

The previous prime is 11102001219997. The next prime is 11102001220021. The reversal of 11102001220000 is 2210020111.

It can be written as a sum of positive squares in 20 ways, for example, as 9030577928464 + 2071423291536 = 3005092^2 + 1439244^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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 39 ways as a sum of consecutive naturals, for example, 328163086 + ... + 328196914.

Almost surely, 2^{11102001220000} is an apocalyptic number.

11102001220000 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 11102001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932178791300).

11102001220000 is an abundant number, since it is smaller than the sum of its proper divisors (16762356362600).

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

11102001220000 is an equidigital number, since it uses as much as digits as its factorization.

11102001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34189 (or 34166 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11102001220000 its reverse (2210020111), we get a palindrome (11104211240111).

The spelling of 11102001220000 in words is "eleven trillion, one hundred two billion, one million, two hundred twenty thousand".