11201011122111 has 16 divisors (see below), whose sum is σ = 15814292338944. Its totient is φ = 7027596447104.

The previous prime is 11201011122101. The next prime is 11201011122139. The reversal of 11201011122111 is 11122111010211.

It is a cyclic number.

It is not a de Polignac number, because 11201011122111 - 2⁶ = 11201011122047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201011122101) 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 15 ways as a sum of consecutive naturals, for example, 6899115 + ... + 8366588.

It is an arithmetic number, because the mean of its divisors is an integer number (988393271184).

Almost surely, 2^{11201011122111} is an apocalyptic number.

11201011122111 is a deficient number, since it is larger than the sum of its proper divisors (4613281216833).

11201011122111 is a wasteful number, since it uses less digits than its factorization.

11201011122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280110.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11201011122111 its reverse (11122111010211), we get a palindrome (22323122132322).

The spelling of 11201011122111 in words is "eleven trillion, two hundred one billion, eleven million, one hundred twenty-two thousand, one hundred eleven".