11121102210 has 64 divisors (see below), whose sum is σ = 27621627264. Its totient is φ = 2863411200.

The previous prime is 11121102193. The next prime is 11121102217. The reversal of 11121102210 is 1220112111.

11121102210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 107170 + ... + 183650.

It is an arithmetic number, because the mean of its divisors is an integer number (431587926).

Almost surely, 2^11121102210 is an apocalyptic number.

11121102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810813632).

11121102210 is an abundant number, since it is smaller than the sum of its proper divisors (16500525054).

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

11121102210 is a wasteful number, since it uses less digits than its factorization.

11121102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76659.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121102210 its reverse (1220112111), we get a palindrome (12341214321).

Subtracting from 11121102210 its reverse (1220112111), we obtain a palindrome (9900990099).

The spelling of 11121102210 in words is "eleven billion, one hundred twenty-one million, one hundred two thousand, two hundred ten".