212011001212033 has 2 divisors, whose sum is σ = 212011001212034. Its totient is φ = 212011001212032.

The previous prime is 212011001212013. The next prime is 212011001212039. The reversal of 212011001212033 is 330212100110212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181301593069584 + 30709408142449 = 13464828^2 + 5541607^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011001212033 - 2⁴¹ = 209811977956481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212011001212033.

It is not a weakly prime, because it can be changed into another prime (212011001212039) 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, 106005500606016 + 106005500606017.

It is an arithmetic number, because the mean of its divisors is an integer number (106005500606017).

Almost surely, 2^{212011001212033} is an apocalyptic number.

It is an amenable number.

212011001212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011001212033 is an equidigital number, since it uses as much as digits as its factorization.

212011001212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212011001212033 its reverse (330212100110212), we get a palindrome (542223101322245).

The spelling of 212011001212033 in words is "two hundred twelve trillion, eleven billion, one million, two hundred twelve thousand, thirty-three".