220120122102113 has 2 divisors, whose sum is σ = 220120122102114. Its totient is φ = 220120122102112.

The previous prime is 220120122102107. The next prime is 220120122102143. The reversal of 220120122102113 is 311201221021022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146853849278929 + 73266272823184 = 12118327^2 + 8559572^2 .

It is a cyclic number.

It is not a de Polignac number, because 220120122102113 - 2²⁴ = 220120105324897 is a prime.

It is a super-3 number, since 3×220120122102113³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (220120122102143) 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 as a sum of consecutive naturals, namely, 110060061051056 + 110060061051057.

It is an arithmetic number, because the mean of its divisors is an integer number (110060061051057).

Almost surely, 2^{220120122102113} is an apocalyptic number.

It is an amenable number.

220120122102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

220120122102113 is an equidigital number, since it uses as much as digits as its factorization.

220120122102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 220120122102113 its reverse (311201221021022), we get a palindrome (531321343123135).

The spelling of 220120122102113 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred thirteen".