122413101314221 has 4 divisors (see below), whose sum is σ = 122477091437052. Its totient is φ = 122349111191392.

The previous prime is 122413101314213. The next prime is 122413101314243.

122413101314221 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 111270556892196 + 11142544422025 = 10548486^2 + 3338045^2 .

It is a cyclic number.

It is not a de Polignac number, because 122413101314221 - 2³ = 122413101314213 is a prime.

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 122413101314221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122413101314281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31995058546 + ... + 31995062371.

It is an arithmetic number, because the mean of its divisors is an integer number (30619272859263).

Almost surely, 2^{122413101314221} is an apocalyptic number.

It is an amenable number.

122413101314221 is a deficient number, since it is larger than the sum of its proper divisors (63990122831).

122413101314221 is an equidigital number, since it uses as much as digits as its factorization.

122413101314221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63990122830.

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 12241310 and 1314221, that added together give a palindrome (13555531).

The spelling of 122413101314221 in words is "one hundred twenty-two trillion, four hundred thirteen billion, one hundred one million, three hundred fourteen thousand, two hundred twenty-one".