10201222102117 has 2 divisors, whose sum is σ = 10201222102118. Its totient is φ = 10201222102116.

The previous prime is 10201222102031. The next prime is 10201222102153. The reversal of 10201222102117 is 71120122210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9999799764516 + 201422337601 = 3162246^2 + 448801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201222102117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201222102187) 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, 5100611051058 + 5100611051059.

It is an arithmetic number, because the mean of its divisors is an integer number (5100611051059).

Almost surely, 2^{10201222102117} is an apocalyptic number.

It is an amenable number.

10201222102117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201222102117 is an equidigital number, since it uses as much as digits as its factorization.

10201222102117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 10201222102117 its reverse (71120122210201), we get a palindrome (81321344312318).

The spelling of 10201222102117 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred seventeen".