11011040100 has 144 divisors (see below), whose sum is σ = 36222056640. Its totient is φ = 2867961600.

The previous prime is 11011040087. The next prime is 11011040111. The reversal of 11011040100 is 104011011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68680 + ... + 163520.

It is an arithmetic number, because the mean of its divisors is an integer number (251542060).

Almost surely, 2^11011040100 is an apocalyptic number.

11011040100 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 11011040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111028320).

11011040100 is an abundant number, since it is smaller than the sum of its proper divisors (25211016540).

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

11011040100 is a wasteful number, since it uses less digits than its factorization.

11011040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94907 (or 94894 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011040100 its reverse (104011011), we get a palindrome (11115051111).

The spelling of 11011040100 in words is "eleven billion, eleven million, forty thousand, one hundred".