120120102110213 has 2 divisors, whose sum is σ = 120120102110214. Its totient is φ = 120120102110212.

The previous prime is 120120102110159. The next prime is 120120102110219. The reversal of 120120102110213 is 312011201021021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116070823262689 + 4049278847524 = 10773617^2 + 2012282^2 .

It is a cyclic number.

It is not a de Polignac number, because 120120102110213 - 2³⁶ = 120051382633477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120120102110191 and 120120102110200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120120102110219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60060051055106 + 60060051055107.

It is an arithmetic number, because the mean of its divisors is an integer number (60060051055107).

Almost surely, 2^{120120102110213} is an apocalyptic number.

It is an amenable number.

120120102110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

120120102110213 is an equidigital number, since it uses as much as digits as its factorization.

120120102110213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 120120102110213 its reverse (312011201021021), we get a palindrome (432131303131234).

The spelling of 120120102110213 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred two million, one hundred ten thousand, two hundred thirteen".