11123330100 has 144 divisors (see below), whose sum is σ = 33529520640. Its totient is φ = 2843942400.

The previous prime is 11123330083. The next prime is 11123330117. The reversal of 11123330100 is 103332111.

It is an interprime number because it is at equal distance from previous prime (11123330083) and next prime (11123330117).

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 11123330100.

It is a congruent number.

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, 1008214 + ... + 1019186.

Almost surely, 2^11123330100 is an apocalyptic number.

11123330100 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 11123330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764760320).

11123330100 is an abundant number, since it is smaller than the sum of its proper divisors (22406190540).

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

11123330100 is a wasteful number, since it uses less digits than its factorization.

11123330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130 (or 11123 counting only the distinct ones).

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

Adding to 11123330100 its reverse (103332111), we get a palindrome (11226662211).

The spelling of 11123330100 in words is "eleven billion, one hundred twenty-three million, three hundred thirty thousand, one hundred".