2120112121213 has 2 divisors, whose sum is σ = 2120112121214. Its totient is φ = 2120112121212.

The previous prime is 2120112121187. The next prime is 2120112121219. The reversal of 2120112121213 is 3121212110212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1938702571129 + 181409550084 = 1392373^2 + 425922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120112121213 - 2¹⁷ = 2120111990141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120112121219) 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, 1060056060606 + 1060056060607.

It is an arithmetic number, because the mean of its divisors is an integer number (1060056060607).

Almost surely, 2^{2120112121213} is an apocalyptic number.

It is an amenable number.

2120112121213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120112121213 is an equidigital number, since it uses as much as digits as its factorization.

2120112121213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2120112121213 its reverse (3121212110212), we get a palindrome (5241324231425).

The spelling of 2120112121213 in words is "two trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, two hundred thirteen".