11000100100 has 72 divisors (see below), whose sum is σ = 26144639136. Its totient is φ = 3984000000.

The previous prime is 11000100073. The next prime is 11000100107. The reversal of 11000100100 is 100100011.

It is a Harshad number since it is a multiple of its sum of digits (4).

11000100100 is a modest number, since divided by 100100 gives 11000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 11000100100.

It is not an unprimeable number, because it can be changed into a prime (11000100107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256180 + ... + 296020.

It is an arithmetic number, because the mean of its divisors is an integer number (363119988).

Almost surely, 2^11000100100 is an apocalyptic number.

11000100100 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 11000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072319568).

11000100100 is an abundant number, since it is smaller than the sum of its proper divisors (15144539036).

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

11000100100 is a wasteful number, since it uses less digits than its factorization.

11000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40117 (or 40110 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 11000100100 its reverse (100100011), we get a palindrome (11100200111).

The spelling of 11000100100 in words is "eleven billion, one hundred thousand, one hundred".