10222210212101 has 2 divisors, whose sum is σ = 10222210212102. Its totient is φ = 10222210212100.

The previous prime is 10222210212083. The next prime is 10222210212103. The reversal of 10222210212101 is 10121201222201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9500388352900 + 721821859201 = 3082270^2 + 849601^2 .

It is an emirp because it is prime and its reverse (10121201222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10222210212101 - 2³⁴ = 10205030342917 is a prime.

It is a Sophie Germain prime.

Together with 10222210212103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10222210212101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222210212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111105106050 + 5111105106051.

It is an arithmetic number, because the mean of its divisors is an integer number (5111105106051).

Almost surely, 2^{10222210212101} is an apocalyptic number.

It is an amenable number.

10222210212101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222210212101 is an equidigital number, since it uses as much as digits as its factorization.

10222210212101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10222210212101 its reverse (10121201222201), we get a palindrome (20343411434302).

The spelling of 10222210212101 in words is "ten trillion, two hundred twenty-two billion, two hundred ten million, two hundred twelve thousand, one hundred one".