11121132121110 has 96 divisors (see below), whose sum is σ = 31552035154848. Its totient is φ = 2695308917760.

The previous prime is 11121132121097. The next prime is 11121132121117. The reversal of 11121132121110 is 1112123112111.

11121132121110 is a `hidden beast` number, since 1 + 1 + 1 + 211 + 321 + 21 + 110 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121132121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2191054 + ... + 5200286.

It is an arithmetic number, because the mean of its divisors is an integer number (328667032863).

Almost surely, 2^{11121132121110} is an apocalyptic number.

11121132121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121132121110 is an abundant number, since it is smaller than the sum of its proper divisors (20430903033738).

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

11121132121110 is a wasteful number, since it uses less digits than its factorization.

11121132121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012990 (or 3012987 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 11121132121110 its reverse (1112123112111), we get a palindrome (12233255233221).

The spelling of 11121132121110 in words is "eleven trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred ten".