10115113200 has 120 divisors (see below), whose sum is σ = 32544457200. Its totient is φ = 2685511680.

The previous prime is 10115113181. The next prime is 10115113219. The reversal of 10115113200 is 231151101.

It is an interprime number because it is at equal distance from previous prime (10115113181) and next prime (10115113219).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10115113200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256396 + ... + 293204.

It is an arithmetic number, because the mean of its divisors is an integer number (271203810).

Almost surely, 2^10115113200 is an apocalyptic number.

10115113200 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 10115113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272228600).

10115113200 is an abundant number, since it is smaller than the sum of its proper divisors (22429344000).

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

10115113200 is a wasteful number, since it uses less digits than its factorization.

10115113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37059 (or 37048 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10115113200 its reverse (231151101), we get a palindrome (10346264301).

The spelling of 10115113200 in words is "ten billion, one hundred fifteen million, one hundred thirteen thousand, two hundred".