110111220101101 has 16 divisors (see below), whose sum is σ = 116437072905216. Its totient is φ = 103958806320000.

The previous prime is 110111220101033. The next prime is 110111220101107. The reversal of 110111220101101 is 101101022111011.

It is a cyclic number.

It is not a de Polignac number, because 110111220101101 - 2²⁷ = 110111085883373 is a prime.

It is a super-2 number, since 2×110111220101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111220101107) 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, 98059891 + ... + 99176431.

It is an arithmetic number, because the mean of its divisors is an integer number (7277317056576).

Almost surely, 2^{110111220101101} is an apocalyptic number.

It is an amenable number.

110111220101101 is a deficient number, since it is larger than the sum of its proper divisors (6325852804115).

110111220101101 is a wasteful number, since it uses less digits than its factorization.

110111220101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194204.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110111220101101 its reverse (101101022111011), we get a palindrome (211212242212112).

The spelling of 110111220101101 in words is "one hundred ten trillion, one hundred eleven billion, two hundred twenty million, one hundred one thousand, one hundred one".