11021101100 has 72 divisors (see below), whose sum is σ = 24106457088. Its totient is φ = 4373435200.

The previous prime is 11021101099. The next prime is 11021101123. The reversal of 11021101100 is 110112011.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11211209 + ... + 11212191.

It is an arithmetic number, because the mean of its divisors is an integer number (334811904).

Almost surely, 2^11021101100 is an apocalyptic number.

11021101100 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 11021101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053228544).

11021101100 is an abundant number, since it is smaller than the sum of its proper divisors (13085355988).

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

11021101100 is a wasteful number, since it uses less digits than its factorization.

11021101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11021101100 its reverse (110112011), we get a palindrome (11131213111).

The spelling of 11021101100 in words is "eleven billion, twenty-one million, one hundred one thousand, one hundred".