11331200200100 has 288 divisors, whose sum is σ = 29356587724800. Its totient is φ = 3750442560000.

The previous prime is 11331200200093. The next prime is 11331200200127. The reversal of 11331200200100 is 100200213311.

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, 89995190 + ... + 90121010.

Almost surely, 2^{11331200200100} is an apocalyptic number.

11331200200100 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 11331200200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14678293862400).

11331200200100 is an abundant number, since it is smaller than the sum of its proper divisors (18025387524700).

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

11331200200100 is a wasteful number, since it uses less digits than its factorization.

11331200200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126035 (or 126028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 11331200200100 its reverse (100200213311), we get a palindrome (11431400413411).

It can be divided in two parts, 113 and 31200200100, that added together give a palindrome (31200200213).

The spelling of 11331200200100 in words is "eleven trillion, three hundred thirty-one billion, two hundred million, two hundred thousand, one hundred".