2012012100209 has 2 divisors, whose sum is σ = 2012012100210. Its totient is φ = 2012012100208.

The previous prime is 2012012100187. The next prime is 2012012100227. The reversal of 2012012100209 is 9020012102102.

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., 1827709317184 + 184302783025 = 1351928^2 + 429305^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012012100209 - 2⁸ = 2012012099953 is a prime.

It is not a weakly prime, because it can be changed into another prime (2012012100299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006006050104 + 1006006050105.

It is an arithmetic number, because the mean of its divisors is an integer number (1006006050105).

Almost surely, 2^{2012012100209} is an apocalyptic number.

It is an amenable number.

2012012100209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012012100209 is an equidigital number, since it uses as much as digits as its factorization.

2012012100209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 2012012100209 in words is "two trillion, twelve billion, twelve million, one hundred thousand, two hundred nine".