2112010000213 has 2 divisors, whose sum is σ = 2112010000214. Its totient is φ = 2112010000212.

The previous prime is 2112010000193. The next prime is 2112010000223. The reversal of 2112010000213 is 3120000102112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1622930767249 + 489079232964 = 1273943^2 + 699342^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112010000213 - 2¹⁷ = 2112009869141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112010000193 and 2112010000202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112010000223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056005000106 + 1056005000107.

It is an arithmetic number, because the mean of its divisors is an integer number (1056005000107).

Almost surely, 2^{2112010000213} is an apocalyptic number.

It is an amenable number.

2112010000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112010000213 is an equidigital number, since it uses as much as digits as its factorization.

2112010000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2112010000213 its reverse (3120000102112), we get a palindrome (5232010102325).

The spelling of 2112010000213 in words is "two trillion, one hundred twelve billion, ten million, two hundred thirteen", and thus it is an aban number.