10011000100 has 36 divisors (see below), whose sum is σ = 22472975700. Its totient is φ = 3866316160.

The previous prime is 10011000049. The next prime is 10011000107. The reversal of 10011000100 is 100011001.

10011000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 76492516 + 9934507584 = 8746^2 + 99672^2 .

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 10011000100.

It is not an unprimeable number, because it can be changed into a prime (10011000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1723135 + ... + 1728934.

It is an arithmetic number, because the mean of its divisors is an integer number (624249325).

Almost surely, 2^10011000100 is an apocalyptic number.

10011000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011000100 is an abundant number, since it is smaller than the sum of its proper divisors (12461975600).

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

10011000100 is a wasteful number, since it uses less digits than its factorization.

10011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452112 (or 3452105 counting only the distinct ones).

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

Adding to 10011000100 its reverse (100011001), we get a palindrome (10111011101).

The spelling of 10011000100 in words is "ten billion, eleven million, one hundred", and thus it is an aban number.