11310203021100 has 144 divisors (see below), whose sum is σ = 33302371011840. Its totient is φ = 2963065593600.

The previous prime is 11310203021081. The next prime is 11310203021203. The reversal of 11310203021100 is 112030201311.

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 11310203021100.

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, 5089746 + ... + 6966054.

It is an arithmetic number, because the mean of its divisors is an integer number (231266465360).

Almost surely, 2^{11310203021100} is an apocalyptic number.

11310203021100 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 11310203021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16651185505920).

11310203021100 is an abundant number, since it is smaller than the sum of its proper divisors (21992167990740).

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

11310203021100 is a wasteful number, since it uses less digits than its factorization.

11310203021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876680 (or 1876673 counting only the distinct ones).

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

Adding to 11310203021100 its reverse (112030201311), we get a palindrome (11422233222411).

The spelling of 11310203021100 in words is "eleven trillion, three hundred ten billion, two hundred three million, twenty-one thousand, one hundred".