10020121200163 has 2 divisors, whose sum is σ = 10020121200164. Its totient is φ = 10020121200162.

The previous prime is 10020121200053. The next prime is 10020121200253. The reversal of 10020121200163 is 36100212102001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10020121200163 is a prime.

It is a super-2 number, since 2×10020121200163² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10020121200163.

It is not a weakly prime, because it can be changed into another prime (10020127200163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010060600081 + 5010060600082.

It is an arithmetic number, because the mean of its divisors is an integer number (5010060600082).

Almost surely, 2^{10020121200163} is an apocalyptic number.

10020121200163 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020121200163 is an equidigital number, since it uses as much as digits as its factorization.

10020121200163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10020121200163 its reverse (36100212102001), we get a palindrome (46120333302164).

The spelling of 10020121200163 in words is "ten trillion, twenty billion, one hundred twenty-one million, two hundred thousand, one hundred sixty-three".