10221212122109 has 2 divisors, whose sum is σ = 10221212122110. Its totient is φ = 10221212122108.

The previous prime is 10221212122103. The next prime is 10221212122111. The reversal of 10221212122109 is 90122121212201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7491595978084 + 2729616144025 = 2737078^2 + 1652155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10221212122109 is a prime.

Together with 10221212122111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221212122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110606061054 + 5110606061055.

It is an arithmetic number, because the mean of its divisors is an integer number (5110606061055).

Almost surely, 2^{10221212122109} is an apocalyptic number.

It is an amenable number.

10221212122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221212122109 is an equidigital number, since it uses as much as digits as its factorization.

10221212122109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 10221212122109 in words is "ten trillion, two hundred twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred nine".