11200321433100 has 144 divisors (see below), whose sum is σ = 33018450183936. Its totient is φ = 2930728416000.

The previous prime is 11200321433089. The next prime is 11200321433107. The reversal of 11200321433100 is 133412300211.

11200321433100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11200321433100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11200321433107) 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, 3248242 + ... + 5740358.

It is an arithmetic number, because the mean of its divisors is an integer number (229294792944).

Almost surely, 2^{11200321433100} is an apocalyptic number.

11200321433100 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 11200321433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509225091968).

11200321433100 is an abundant number, since it is smaller than the sum of its proper divisors (21818128750836).

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

11200321433100 is a wasteful number, since it uses less digits than its factorization.

11200321433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492416 (or 2492409 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11200321433100 its reverse (133412300211), we get a palindrome (11333733733311).

The spelling of 11200321433100 in words is "eleven trillion, two hundred billion, three hundred twenty-one million, four hundred thirty-three thousand, one hundred".