11021320100 has 108 divisors (see below), whose sum is σ = 27875223684. Its totient is φ = 3771371520.

The previous prime is 11021320069. The next prime is 11021320181. The reversal of 11021320100 is 102312011.

It can be written as a sum of positive squares in 6 ways, for example, as 710542336 + 10310777764 = 26656^2 + 101542^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2903804 + ... + 2907596.

It is an arithmetic number, because the mean of its divisors is an integer number (258103923).

Almost surely, 2^11021320100 is an apocalyptic number.

11021320100 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 11021320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937611842).

11021320100 is an abundant number, since it is smaller than the sum of its proper divisors (16853903584).

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

11021320100 is a wasteful number, since it uses less digits than its factorization.

11021320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11021320100 its reverse (102312011), we get a palindrome (11123632111).

The spelling of 11021320100 in words is "eleven billion, twenty-one million, three hundred twenty thousand, one hundred".