2120121002213 has 2 divisors, whose sum is σ = 2120121002214. Its totient is φ = 2120121002212.

The previous prime is 2120121002203. The next prime is 2120121002231. The reversal of 2120121002213 is 3122001210212.

Together with next prime (2120121002231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1450345715809 + 669775286404 = 1204303^2 + 818398^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120121002213 - 2¹⁰ = 2120121001189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2120121002191 and 2120121002200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120121002203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060060501106 + 1060060501107.

It is an arithmetic number, because the mean of its divisors is an integer number (1060060501107).

Almost surely, 2^{2120121002213} is an apocalyptic number.

It is an amenable number.

2120121002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120121002213 is an equidigital number, since it uses as much as digits as its factorization.

2120121002213 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 17.

Adding to 2120121002213 its reverse (3122001210212), we get a palindrome (5242122212425).

The spelling of 2120121002213 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, two thousand, two hundred thirteen".