110111102011211 has 16 divisors (see below), whose sum is σ = 126735379435200. Its totient is φ = 93710850065280.

The previous prime is 110111102011201. The next prime is 110111102011213. The reversal of 110111102011211 is 112110201111011.

It is not a de Polignac number, because 110111102011211 - 2³⁸ = 109836224104267 is a prime.

It is a super-3 number, since 3×110111102011211³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110111102011213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17976680 + ... + 23310581.

It is an arithmetic number, because the mean of its divisors is an integer number (7920961214700).

Almost surely, 2^{110111102011211} is an apocalyptic number.

110111102011211 is a deficient number, since it is larger than the sum of its proper divisors (16624277423989).

110111102011211 is a wasteful number, since it uses less digits than its factorization.

110111102011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41289974.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 110111102011211 its reverse (112110201111011), we get a palindrome (222221303122222).

The spelling of 110111102011211 in words is "one hundred ten trillion, one hundred eleven billion, one hundred two million, eleven thousand, two hundred eleven".