11121021110112 has 24 divisors (see below), whose sum is σ = 29192680414296. Its totient is φ = 3707007036672.

The previous prime is 11121021110077. The next prime is 11121021110159. The reversal of 11121021110112 is 21101112012111.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×11121021110112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11121021110091 and 11121021110100.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 57921984853 + ... + 57921985044.

It is an arithmetic number, because the mean of its divisors is an integer number (1216361683929).

Almost surely, 2^{11121021110112} is an apocalyptic number.

11121021110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121021110112 is an abundant number, since it is smaller than the sum of its proper divisors (18071659304184).

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

11121021110112 is a wasteful number, since it uses less digits than its factorization.

11121021110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115843969910 (or 115843969902 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11121021110112 its reverse (21101112012111), we get a palindrome (32222133122223).

The spelling of 11121021110112 in words is "eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred ten thousand, one hundred twelve".