11101112122120 has 64 divisors (see below), whose sum is σ = 24989145919920. Its totient is φ = 4438375501824.

The previous prime is 11101112122069. The next prime is 11101112122207. The reversal of 11101112122120 is 2122121110111.

It can be written as a sum of positive squares in 8 ways, for example, as 4593194794276 + 6507917327844 = 2143174^2 + 2551062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11101112122094 and 11101112122103.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1420120452 + ... + 1420128268.

Almost surely, 2^{11101112122120} is an apocalyptic number.

11101112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101112122120 is an abundant number, since it is smaller than the sum of its proper divisors (13888033797800).

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

11101112122120 is a wasteful number, since it uses less digits than its factorization.

11101112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19834 (or 19830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11101112122120 its reverse (2122121110111), we get a palindrome (13223233232231).

The spelling of 11101112122120 in words is "eleven trillion, one hundred one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".