11201112112120 has 128 divisors (see below), whose sum is σ = 30352735549440. Its totient is φ = 3637037606400.

The previous prime is 11201112112111. The next prime is 11201112112121. The reversal of 11201112112120 is 2121121110211.

It is a junction number, because it is equal to n+sod(n) for n = 11201112112094 and 11201112112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201112112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7959972 + ... + 9260851.

It is an arithmetic number, because the mean of its divisors is an integer number (237130746480).

Almost surely, 2^{11201112112120} is an apocalyptic number.

11201112112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201112112120 is an abundant number, since it is smaller than the sum of its proper divisors (19151623437320).

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

11201112112120 is a wasteful number, since it uses less digits than its factorization.

11201112112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17220965 (or 17220961 counting only the distinct ones).

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

Adding to 11201112112120 its reverse (2121121110211), we get a palindrome (13322233222331).

The spelling of 11201112112120 in words is "eleven trillion, two hundred one billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".