11330300120100 has 288 divisors, whose sum is σ = 35398998235776. Its totient is φ = 2781507686400.

The previous prime is 11330300120099. The next prime is 11330300120131. The reversal of 11330300120100 is 102100303311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11330300120100.

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, 2686813192 + ... + 2686817408.

Almost surely, 2^{11330300120100} is an apocalyptic number.

11330300120100 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 11330300120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699499117888).

11330300120100 is an abundant number, since it is smaller than the sum of its proper divisors (24068698115676).

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

11330300120100 is a wasteful number, since it uses less digits than its factorization.

11330300120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11330300120100 its reverse (102100303311), we get a palindrome (11432400423411).

The spelling of 11330300120100 in words is "eleven trillion, three hundred thirty billion, three hundred million, one hundred twenty thousand, one hundred".