11011020211100 has 288 divisors, whose sum is σ = 29642965645440. Its totient is φ = 3456986480640.

The previous prime is 11011020211069. The next prime is 11011020211133. The reversal of 11011020211100 is 111202011011.

11011020211100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2978364452 + ... + 2978368148.

Almost surely, 2^{11011020211100} is an apocalyptic number.

11011020211100 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 11011020211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821482822720).

11011020211100 is an abundant number, since it is smaller than the sum of its proper divisors (18631945434340).

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

11011020211100 is a wasteful number, since it uses less digits than its factorization.

11011020211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11011020211100 its reverse (111202011011), we get a palindrome (11122222222111).

The spelling of 11011020211100 in words is "eleven trillion, eleven billion, twenty million, two hundred eleven thousand, one hundred".