11132102210300 has 72 divisors (see below), whose sum is σ = 24950915039232. Its totient is φ = 4306607640000.

The previous prime is 11132102210161. The next prime is 11132102210309. The reversal of 11132102210300 is 301220123111.

It is a super-2 number, since 2×11132102210300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132102210309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4075625 + ... + 6234975.

It is an arithmetic number, because the mean of its divisors is an integer number (346540486656).

Almost surely, 2^{11132102210300} is an apocalyptic number.

11132102210300 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 11132102210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475457519616).

11132102210300 is an abundant number, since it is smaller than the sum of its proper divisors (13818812828932).

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

11132102210300 is a wasteful number, since it uses less digits than its factorization.

11132102210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161059 (or 2161052 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11132102210300 its reverse (301220123111), we get a palindrome (11433322333411).

The spelling of 11132102210300 in words is "eleven trillion, one hundred thirty-two billion, one hundred two million, two hundred ten thousand, three hundred".