10001113200 has 240 divisors, whose sum is σ = 38335289440. Its totient is φ = 2461777920.

The previous prime is 10001113193. The next prime is 10001113211. The reversal of 10001113200 is 231110001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 104784 + ... + 176016.

Almost surely, 2^10001113200 is an apocalyptic number.

10001113200 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 10001113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167644720).

10001113200 is an abundant number, since it is smaller than the sum of its proper divisors (28334176240).

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

10001113200 is a wasteful number, since it uses less digits than its factorization.

10001113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71273 (or 71256 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001113200 its reverse (231110001), we get a palindrome (10232223201).

It can be divided in two parts, 10001 and 113200, that added together give a square (123201 = 351²).

The spelling of 10001113200 in words is "ten billion, one million, one hundred thirteen thousand, two hundred".