2112111010213 has 2 divisors, whose sum is σ = 2112111010214. Its totient is φ = 2112111010212.

The previous prime is 2112111010181. The next prime is 2112111010237. The reversal of 2112111010213 is 3120101112112.

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., 1810378323009 + 301732687204 = 1345503^2 + 549302^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112111010213 - 2⁵ = 2112111010181 is a prime.

It is a super-2 number, since 2×2112111010213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112111010253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056055505106 + 1056055505107.

It is an arithmetic number, because the mean of its divisors is an integer number (1056055505107).

Almost surely, 2^{2112111010213} is an apocalyptic number.

It is an amenable number.

2112111010213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112111010213 is an equidigital number, since it uses as much as digits as its factorization.

2112111010213 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 16.

Adding to 2112111010213 its reverse (3120101112112), we get a palindrome (5232212122325).

The spelling of 2112111010213 in words is "two trillion, one hundred twelve billion, one hundred eleven million, ten thousand, two hundred thirteen".