11121323100 has 144 divisors (see below), whose sum is σ = 34187916000. Its totient is φ = 2785950720.

The previous prime is 11121323053. The next prime is 11121323111. The reversal of 11121323100 is 132312111.

It is a happy number.

It is a super-2 number, since 2×11121323100² (a number of 21 digits) contains 22 as substring.

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 11121323100.

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, 304626 + ... + 339174.

Almost surely, 2^11121323100 is an apocalyptic number.

11121323100 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 11121323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093958000).

11121323100 is an abundant number, since it is smaller than the sum of its proper divisors (23066592900).

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

11121323100 is a wasteful number, since it uses less digits than its factorization.

11121323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34632 (or 34625 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11121323100 its reverse (132312111), we get a palindrome (11253635211).

The spelling of 11121323100 in words is "eleven billion, one hundred twenty-one million, three hundred twenty-three thousand, one hundred".