2010120200213 has 2 divisors, whose sum is σ = 2010120200214. Its totient is φ = 2010120200212.

The previous prime is 2010120200191. The next prime is 2010120200233. The reversal of 2010120200213 is 3120020210102.

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., 1214631022609 + 795489177604 = 1102103^2 + 891902^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010120200213 - 2¹⁶ = 2010120134677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010120200233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005060100106 + 1005060100107.

It is an arithmetic number, because the mean of its divisors is an integer number (1005060100107).

Almost surely, 2^{2010120200213} is an apocalyptic number.

It is an amenable number.

2010120200213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010120200213 is an equidigital number, since it uses as much as digits as its factorization.

2010120200213 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 14.

Adding to 2010120200213 its reverse (3120020210102), we get a palindrome (5130140410315).

The spelling of 2010120200213 in words is "two trillion, ten billion, one hundred twenty million, two hundred thousand, two hundred thirteen".