10201222102163 has 2 divisors, whose sum is σ = 10201222102164. Its totient is φ = 10201222102162.

The previous prime is 10201222102153. The next prime is 10201222102187. The reversal of 10201222102163 is 36120122210201.

It is a weak prime.

It is an emirp because it is prime and its reverse (36120122210201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10201222102163 - 2²⁸ = 10200953666707 is a prime.

It is a super-3 number, since 3×10201222102163³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10201222102153) 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, 5100611051081 + 5100611051082.

It is an arithmetic number, because the mean of its divisors is an integer number (5100611051082).

Almost surely, 2^{10201222102163} is an apocalyptic number.

10201222102163 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201222102163 is an equidigital number, since it uses as much as digits as its factorization.

10201222102163 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 23.

Adding to 10201222102163 its reverse (36120122210201), we get a palindrome (46321344312364).

The spelling of 10201222102163 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, one hundred two thousand, one hundred sixty-three".