11332100320100 has 144 divisors (see below), whose sum is σ = 28320514121088. Its totient is φ = 3855406325760.

The previous prime is 11332100320063. The next prime is 11332100320117. The reversal of 11332100320100 is 102300123311.

11332100320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53529059 + ... + 53740341.

It is an arithmetic number, because the mean of its divisors is an integer number (196670236952).

Almost surely, 2^{11332100320100} is an apocalyptic number.

11332100320100 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 11332100320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160257060544).

11332100320100 is an abundant number, since it is smaller than the sum of its proper divisors (16988413800988).

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

11332100320100 is a wasteful number, since it uses less digits than its factorization.

11332100320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211894 (or 211887 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11332100320100 its reverse (102300123311), we get a palindrome (11434400443411).

The spelling of 11332100320100 in words is "eleven trillion, three hundred thirty-two billion, one hundred million, three hundred twenty thousand, one hundred".