11121102216 has 96 divisors (see below), whose sum is σ = 34437599040. Its totient is φ = 3176060544.

The previous prime is 11121102193. The next prime is 11121102217. The reversal of 11121102216 is 61220112111.

11121102216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11121102216² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11121102217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1830015 + ... + 1836081.

It is an arithmetic number, because the mean of its divisors is an integer number (358724990).

Almost surely, 2^11121102216 is an apocalyptic number.

It is an amenable number.

11121102216 is an abundant number, since it is smaller than the sum of its proper divisors (23316496824).

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

11121102216 is a wasteful number, since it uses less digits than its factorization.

11121102216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9716 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11121102216 its reverse (61220112111), we get a palindrome (72341214327).

The spelling of 11121102216 in words is "eleven billion, one hundred twenty-one million, one hundred two thousand, two hundred sixteen".