10010001100 has 72 divisors (see below), whose sum is σ = 23785196400. Its totient is φ = 3626361600.

The previous prime is 10010001077. The next prime is 10010001103. The reversal of 10010001100 is 110001001.

10010001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10010001100.

It is not an unprimeable number, because it can be changed into a prime (10010001103) 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 23 ways as a sum of consecutive naturals, for example, 278986 + ... + 312814.

It is an arithmetic number, because the mean of its divisors is an integer number (330349950).

Almost surely, 2^10010001100 is an apocalyptic number.

10010001100 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 10010001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11892598200).

10010001100 is an abundant number, since it is smaller than the sum of its proper divisors (13775195300).

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

10010001100 is a wasteful number, since it uses less digits than its factorization.

10010001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34123 (or 34116 counting only the distinct ones).

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

Adding to 10010001100 its reverse (110001001), we get a palindrome (10120002101).

Subtracting from 10010001100 its reverse (110001001), we obtain a palindrome (9900000099).

The spelling of 10010001100 in words is "ten billion, ten million, one thousand, one hundred".