212042101409 has 2 divisors, whose sum is σ = 212042101410. Its totient is φ = 212042101408.

The previous prime is 212042101393. The next prime is 212042101471. The reversal of 212042101409 is 904101240212.

212042101409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116991361600 + 95050739809 = 342040^2 + 308303^2 .

It is a cyclic number.

It is not a de Polignac number, because 212042101409 - 2⁴ = 212042101393 is a prime.

It is not a weakly prime, because it can be changed into another prime (212042101709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106021050704 + 106021050705.

It is an arithmetic number, because the mean of its divisors is an integer number (106021050705).

Almost surely, 2^212042101409 is an apocalyptic number.

It is an amenable number.

212042101409 is a deficient number, since it is larger than the sum of its proper divisors (1).

212042101409 is an equidigital number, since it uses as much as digits as its factorization.

212042101409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 212042101409 in words is "two hundred twelve billion, forty-two million, one hundred one thousand, four hundred nine".