11201211121121 has 24 divisors (see below), whose sum is σ = 13479595715520. Its totient is φ = 9269757544992.

The previous prime is 11201211121091. The next prime is 11201211121157. The reversal of 11201211121121 is 12112111210211.

It is not a de Polignac number, because 11201211121121 - 2¹⁴ = 11201211104737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11201211121121.

It is not an unprimeable number, because it can be changed into a prime (11201211121171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112048466 + ... + 112148388.

It is an arithmetic number, because the mean of its divisors is an integer number (561649821480).

Almost surely, 2^{11201211121121} is an apocalyptic number.

It is an amenable number.

11201211121121 is a deficient number, since it is larger than the sum of its proper divisors (2278384594399).

11201211121121 is an equidigital number, since it uses as much as digits as its factorization.

11201211121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178853 (or 178846 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 11201211121121 its reverse (12112111210211), we get a palindrome (23313322331332).

The spelling of 11201211121121 in words is "eleven trillion, two hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty-one".