11201121110120 has 32 divisors (see below), whose sum is σ = 25203551996520. Its totient is φ = 4480265422080.

The previous prime is 11201121110093. The next prime is 11201121110131. The reversal of 11201121110120 is 2101112110211.

11201121110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9156203950084 + 2044917160036 = 3025922^2 + 1430006^2 .

It is a super-2 number, since 2×11201121110120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201121110095 and 11201121110104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4725851 + ... + 6688490.

Almost surely, 2^{11201121110120} is an apocalyptic number.

11201121110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201121110120 is an abundant number, since it is smaller than the sum of its proper divisors (14002430886400).

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

11201121110120 is a wasteful number, since it uses less digits than its factorization.

11201121110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438885 (or 11438881 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11201121110120 its reverse (2101112110211), we get a palindrome (13302233220331).

The spelling of 11201121110120 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".