10001120208 has 80 divisors (see below), whose sum is σ = 26644723200. Its totient is φ = 3230980480.

The previous prime is 10001120183. The next prime is 10001120221. The reversal of 10001120208 is 80202110001.

10001120208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 176203 + ... + 225941.

It is an arithmetic number, because the mean of its divisors is an integer number (333059040).

Almost surely, 2^10001120208 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 10001120208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322361600).

10001120208 is an abundant number, since it is smaller than the sum of its proper divisors (16643602992).

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

10001120208 is a wasteful number, since it uses less digits than its factorization.

10001120208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49880 (or 49874 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10001120208 its reverse (80202110001), we get a palindrome (90203230209).

The spelling of 10001120208 in words is "ten billion, one million, one hundred twenty thousand, two hundred eight".