11021123221300 has 72 divisors (see below), whose sum is σ = 24094007181720. Its totient is φ = 4375616563200.

The previous prime is 11021123221267. The next prime is 11021123221313. The reversal of 11021123221300 is 312232112011.

It can be written as a sum of positive squares in 12 ways, for example, as 2313088141456 + 8708035079844 = 1520884^2 + 2950938^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97336720 + ... + 97449880.

It is an arithmetic number, because the mean of its divisors is an integer number (334638988635).

Almost surely, 2^{11021123221300} is an apocalyptic number.

11021123221300 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 11021123221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047003590860).

11021123221300 is an abundant number, since it is smaller than the sum of its proper divisors (13072883960420).

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

11021123221300 is a wasteful number, since it uses less digits than its factorization.

11021123221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120421 (or 120414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11021123221300 its reverse (312232112011), we get a palindrome (11333355333311).

It can be divided in two parts, 11021 and 123221300, that added together give a palindrome (123232321).

The spelling of 11021123221300 in words is "eleven trillion, twenty-one billion, one hundred twenty-three million, two hundred twenty-one thousand, three hundred".