110111031211221 has 24 divisors (see below), whose sum is σ = 168410341958040. Its totient is φ = 69087126629376.

The previous prime is 110111031211189. The next prime is 110111031211229. The reversal of 110111031211221 is 122112130111011.

110111031211221 is a `hidden beast` number, since 1 + 10 + 1 + 110 + 312 + 11 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64995440900625 + 45115590310596 = 8061975^2 + 6716814^2 .

It is not a de Polignac number, because 110111031211221 - 2⁵ = 110111031211189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110111031211194 and 110111031211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111031211229) 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 23 ways as a sum of consecutive naturals, for example, 6242056 + ... + 16099233.

It is an arithmetic number, because the mean of its divisors is an integer number (7017097581585).

Almost surely, 2^{110111031211221} is an apocalyptic number.

It is an amenable number.

110111031211221 is a deficient number, since it is larger than the sum of its proper divisors (58299310746819).

110111031211221 is a wasteful number, since it uses less digits than its factorization.

110111031211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22373525 (or 22373522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 110111031211221 its reverse (122112130111011), we get a palindrome (232223161322232).

The spelling of 110111031211221 in words is "one hundred ten trillion, one hundred eleven billion, thirty-one million, two hundred eleven thousand, two hundred twenty-one".