11210120211121 has 8 divisors (see below), whose sum is σ = 12488728087080. Its totient is φ = 9990982468992.

The previous prime is 11210120211061. The next prime is 11210120211127. The reversal of 11210120211121 is 12111202101211.

11210120211121 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 242359290000 + 10967760921121 = 492300^2 + 3311761^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11210120211121 - 2¹¹ = 11210120209073 is a prime.

It is a super-2 number, since 2×11210120211121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11210120211095 and 11210120211104.

It is not an unprimeable number, because it can be changed into a prime (11210120211127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14867533060 + ... + 14867533813.

It is an arithmetic number, because the mean of its divisors is an integer number (1561091010885).

Almost surely, 2^{11210120211121} is an apocalyptic number.

It is an amenable number.

11210120211121 is a deficient number, since it is larger than the sum of its proper divisors (1278607875959).

11210120211121 is a wasteful number, since it uses less digits than its factorization.

11210120211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29735066915.

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

Adding to 11210120211121 its reverse (12111202101211), we get a palindrome (23321322312332).

The spelling of 11210120211121 in words is "eleven trillion, two hundred ten billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-one".