11000000100100 has 144 divisors (see below), whose sum is σ = 26574269762880. Its totient is φ = 3918175372800.

The previous prime is 11000000100083. The next prime is 11000000100101. The reversal of 11000000100100 is 100100000011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11000000100100.

It is not an unprimeable number, because it can be changed into a prime (11000000100101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35935294 + ... + 36240106.

It is an arithmetic number, because the mean of its divisors is an integer number (184543540020).

Almost surely, 2^{11000000100100} is an apocalyptic number.

11000000100100 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 11000000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287134881440).

11000000100100 is an abundant number, since it is smaller than the sum of its proper divisors (15574269662780).

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

11000000100100 is a wasteful number, since it uses less digits than its factorization.

11000000100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305510 (or 305503 counting only the distinct ones).

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

Adding to 11000000100100 its reverse (100100000011), we get a palindrome (11100100100111).

The spelling of 11000000100100 in words is "eleven trillion, one hundred thousand, one hundred".