110221221211121 has 6 divisors (see below), whose sum is σ = 117086210767830. Its totient is φ = 103737619963136.

The previous prime is 110221221211097. The next prime is 110221221211133. The reversal of 110221221211121 is 121112122122011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17648728679521 + 92572492531600 = 4201039^2 + 9621460^2 .

It is not a de Polignac number, because 110221221211121 - 2¹⁴ = 110221221194737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110221221211093 and 110221221211102.

It is not an unprimeable number, because it can be changed into a prime (110221221211141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190694154056 + ... + 190694154633.

It is an arithmetic number, because the mean of its divisors is an integer number (19514368461305).

Almost surely, 2^{110221221211121} is an apocalyptic number.

It is an amenable number.

110221221211121 is a deficient number, since it is larger than the sum of its proper divisors (6864989556709).

110221221211121 is an equidigital number, since it uses as much as digits as its factorization.

110221221211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381388308723 (or 381388308706 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 110221221211121 its reverse (121112122122011), we get a palindrome (231333343333132).

The spelling of 110221221211121 in words is "one hundred ten trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".