2112001112213 has 2 divisors, whose sum is σ = 2112001112214. Its totient is φ = 2112001112212.

The previous prime is 2112001112191. The next prime is 2112001112227. The reversal of 2112001112213 is 3122111002112.

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., 1661193610129 + 450807502084 = 1288873^2 + 671422^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112001112213 - 2¹⁴ = 2112001095829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112001112191 and 2112001112200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112001112713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056000556106 + 1056000556107.

It is an arithmetic number, because the mean of its divisors is an integer number (1056000556107).

Almost surely, 2^{2112001112213} is an apocalyptic number.

It is an amenable number.

2112001112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112001112213 is an equidigital number, since it uses as much as digits as its factorization.

2112001112213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2112001112213 its reverse (3122111002112), we get a palindrome (5234112114325).

The spelling of 2112001112213 in words is "two trillion, one hundred twelve billion, one million, one hundred twelve thousand, two hundred thirteen".