11103012103200 has 288 divisors, whose sum is σ = 36861479839296. Its totient is φ = 2901840015360.

The previous prime is 11103012103171. The next prime is 11103012103201. The reversal of 11103012103200 is 230121030111.

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 11103012103200.

It is not an unprimeable number, because it can be changed into a prime (11103012103201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120412314 + ... + 120504486.

It is an arithmetic number, because the mean of its divisors is an integer number (127991249442).

Almost surely, 2^{11103012103200} is an apocalyptic number.

11103012103200 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 11103012103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430739919648).

11103012103200 is an abundant number, since it is smaller than the sum of its proper divisors (25758467736096).

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

11103012103200 is a wasteful number, since it uses less digits than its factorization.

11103012103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93196 (or 93183 counting only the distinct ones).

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

Adding to 11103012103200 its reverse (230121030111), we get a palindrome (11333133133311).

The spelling of 11103012103200 in words is "eleven trillion, one hundred three billion, twelve million, one hundred three thousand, two hundred".