11300231110200 has 192 divisors, whose sum is σ = 38063937561600. Its totient is φ = 2762704972800.

The previous prime is 11300231110151. The next prime is 11300231110211. The reversal of 11300231110200 is 201113200311.

It is a happy number.

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 11300231110200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15634477 + ... + 16341276.

It is an arithmetic number, because the mean of its divisors is an integer number (198249674800).

Almost surely, 2^{11300231110200} is an apocalyptic number.

11300231110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11300231110200 is an abundant number, since it is smaller than the sum of its proper divisors (26763706451400).

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

11300231110200 is a wasteful number, since it uses less digits than its factorization.

11300231110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31975822 (or 31975813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11300231110200 its reverse (201113200311), we get a palindrome (11501344310511).

The spelling of 11300231110200 in words is "eleven trillion, three hundred billion, two hundred thirty-one million, one hundred ten thousand, two hundred".