11021100303120 has 320 divisors, whose sum is σ = 35297392965120. Its totient is φ = 2842579353600.

The previous prime is 11021100303113. The next prime is 11021100303131. The reversal of 11021100303120 is 2130300112011.

It is a happy number.

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 11021100303120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1095422890 + ... + 1095432950.

It is an arithmetic number, because the mean of its divisors is an integer number (110304353016).

Almost surely, 2^{11021100303120} is an apocalyptic number.

11021100303120 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 11021100303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17648696482560).

11021100303120 is an abundant number, since it is smaller than the sum of its proper divisors (24276292662000).

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

11021100303120 is a wasteful number, since it uses less digits than its factorization.

11021100303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11021100303120 its reverse (2130300112011), we get a palindrome (13151400415131).

The spelling of 11021100303120 in words is "eleven trillion, twenty-one billion, one hundred million, three hundred three thousand, one hundred twenty".