212122012101113 has 2 divisors, whose sum is σ = 212122012101114. Its totient is φ = 212122012101112.

The previous prime is 212122012101079. The next prime is 212122012101133. The reversal of 212122012101113 is 311101210221212.

It is an a-pointer prime, because the next prime (212122012101133) can be obtained adding 212122012101113 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210361751845609 + 1760260255504 = 14503853^2 + 1326748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212122012101113 is a prime.

It is not a weakly prime, because it can be changed into another prime (212122012101133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061006050556 + 106061006050557.

It is an arithmetic number, because the mean of its divisors is an integer number (106061006050557).

Almost surely, 2^{212122012101113} is an apocalyptic number.

It is an amenable number.

212122012101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

212122012101113 is an equidigital number, since it uses as much as digits as its factorization.

212122012101113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 212122012101113 its reverse (311101210221212), we get a palindrome (523223222322325).

The spelling of 212122012101113 in words is "two hundred twelve trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred thirteen".