110201122201221 has 48 divisors (see below), whose sum is σ = 169151992302384. Its totient is φ = 68896179781632.

The previous prime is 110201122201207. The next prime is 110201122201243. The reversal of 110201122201221 is 122102221102011.

110201122201221 is a `hidden beast` number, since 1 + 10 + 201 + 12 + 220 + 1 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9704417121 + 110191417784100 = 98511^2 + 10497210^2 .

It is not a de Polignac number, because 110201122201221 - 2¹⁵ = 110201122168453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110201122201194 and 110201122201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201122201021) 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 47 ways as a sum of consecutive naturals, for example, 79386115 + ... + 80762351.

It is an arithmetic number, because the mean of its divisors is an integer number (3523999839633).

Almost surely, 2^{110201122201221} is an apocalyptic number.

It is an amenable number.

110201122201221 is a deficient number, since it is larger than the sum of its proper divisors (58950870101163).

110201122201221 is a wasteful number, since it uses less digits than its factorization.

110201122201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378150 (or 1378147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110201122201221 its reverse (122102221102011), we get a palindrome (232303343303232).

The spelling of 110201122201221 in words is "one hundred ten trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty-one".