11110330200100 has 144 divisors (see below), whose sum is σ = 26098101520848. Its totient is φ = 4089777602560.

The previous prime is 11110330200071. The next prime is 11110330200131. The reversal of 11110330200100 is 100203301111.

It can be written as a sum of positive squares in 24 ways, for example, as 4711747470336 + 6398582729764 = 2170656^2 + 2529542^2 .

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, 26188872 + ... + 26609728.

It is an arithmetic number, because the mean of its divisors is an integer number (181236816117).

Almost surely, 2^{11110330200100} is an apocalyptic number.

11110330200100 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 11110330200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049050760424).

11110330200100 is an abundant number, since it is smaller than the sum of its proper divisors (14987771320748).

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

11110330200100 is a wasteful number, since it uses less digits than its factorization.

11110330200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421234 (or 421227 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11110330200100 its reverse (100203301111), we get a palindrome (11210533501211).

The spelling of 11110330200100 in words is "eleven trillion, one hundred ten billion, three hundred thirty million, two hundred thousand, one hundred".