114222044314121 has 8 divisors (see below), whose sum is σ = 114528791896200. Its totient is φ = 113915299525632.

The previous prime is 114222044314117. The next prime is 114222044314177. The reversal of 114222044314121 is 121413440222411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66369698497600 + 47852345816521 = 8146760^2 + 6917539^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 114222044314121 - 2² = 114222044314117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114222044311121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101061491 + ... + 102185463.

It is an arithmetic number, because the mean of its divisors is an integer number (14316098987025).

Almost surely, 2^{114222044314121} is an apocalyptic number.

It is an amenable number.

114222044314121 is a deficient number, since it is larger than the sum of its proper divisors (306747582079).

114222044314121 is a wasteful number, since it uses less digits than its factorization.

114222044314121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396795.

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 114222044314121 its reverse (121413440222411), we get a palindrome (235635484536532).

The spelling of 114222044314121 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred fourteen thousand, one hundred twenty-one".