110121220211201 has 8 divisors (see below), whose sum is σ = 116599078803240. Its totient is φ = 103643377147648.

The previous prime is 110121220211179. The next prime is 110121220211231. The reversal of 110121220211201 is 102112022121011.

It can be written as a sum of positive squares in 4 ways, for example, as 10139919336976 + 99981300874225 = 3184324^2 + 9999065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110121220211201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110121220211201.

It is not an unprimeable number, because it can be changed into a prime (110121220211231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12755435 + ... + 19568943.

It is an arithmetic number, because the mean of its divisors is an integer number (14574884850405).

Almost surely, 2^{110121220211201} is an apocalyptic number.

It is an amenable number.

110121220211201 is a deficient number, since it is larger than the sum of its proper divisors (6477858592039).

110121220211201 is an equidigital number, since it uses as much as digits as its factorization.

110121220211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764243.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 110121220211201 its reverse (102112022121011), we get a palindrome (212233242332212).

The spelling of 110121220211201 in words is "one hundred ten trillion, one hundred twenty-one billion, two hundred twenty million, two hundred eleven thousand, two hundred one".