11332203122100 has 288 divisors, whose sum is σ = 39709420934400. Its totient is φ = 2439901900800.

The previous prime is 11332203122099. The next prime is 11332203122153. The reversal of 11332203122100 is 122130223311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227646 + ... + 4766154.

It is an arithmetic number, because the mean of its divisors is an integer number (137879933800).

Almost surely, 2^{11332203122100} is an apocalyptic number.

11332203122100 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 11332203122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19854710467200).

11332203122100 is an abundant number, since it is smaller than the sum of its proper divisors (28377217812300).

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

11332203122100 is a wasteful number, since it uses less digits than its factorization.

11332203122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538603 (or 4538596 counting only the distinct ones).

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

Adding to 11332203122100 its reverse (122130223311), we get a palindrome (11454333345411).

The spelling of 11332203122100 in words is "eleven trillion, three hundred thirty-two billion, two hundred three million, one hundred twenty-two thousand, one hundred".