10011001104 has 120 divisors (see below), whose sum is σ = 30229362072. Its totient is φ = 3074457600.

The previous prime is 10011001103. The next prime is 10011001139. The reversal of 10011001104 is 40110011001.

It can be written as a sum of positive squares in 4 ways, for example, as 100400400 + 9910600704 = 10020^2 + 99552^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10011001103) by changing a digit.

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, 1037904 + ... + 1047504.

Almost surely, 2^10011001104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114681036).

10011001104 is an abundant number, since it is smaller than the sum of its proper divisors (20218360968).

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

10011001104 is a wasteful number, since it uses less digits than its factorization.

10011001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185 (or 10176 counting only the distinct ones).

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

Adding to 10011001104 its reverse (40110011001), we get a palindrome (50121012105).

The spelling of 10011001104 in words is "ten billion, eleven million, one thousand, one hundred four".