212012011212101 has 2 divisors, whose sum is σ = 212012011212102. Its totient is φ = 212012011212100.

The previous prime is 212012011212083. The next prime is 212012011212121. The reversal of 212012011212101 is 101212110210212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127387926463876 + 84624084748225 = 11286626^2 + 9199135^2 .

It is a cyclic number.

It is not a de Polignac number, because 212012011212101 - 2⁶ = 212012011212037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212012011212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212012011212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106006005606050 + 106006005606051.

It is an arithmetic number, because the mean of its divisors is an integer number (106006005606051).

Almost surely, 2^{212012011212101} is an apocalyptic number.

It is an amenable number.

212012011212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212012011212101 is an equidigital number, since it uses as much as digits as its factorization.

212012011212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212012011212101 its reverse (101212110210212), we get a palindrome (313224121422313).

The spelling of 212012011212101 in words is "two hundred twelve trillion, twelve billion, eleven million, two hundred twelve thousand, one hundred one".