1002200163101 has 2 divisors, whose sum is σ = 1002200163102. Its totient is φ = 1002200163100.

The previous prime is 1002200163079. The next prime is 1002200163103. The reversal of 1002200163101 is 1013610022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 580226499076 + 421973664025 = 761726^2 + 649595^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002200163101 - 2¹⁸ = 1002199900957 is a prime.

Together with 1002200163103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002200163101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002200163103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501100081550 + 501100081551.

It is an arithmetic number, because the mean of its divisors is an integer number (501100081551).

Almost surely, 2^{1002200163101} is an apocalyptic number.

It is an amenable number.

1002200163101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002200163101 is an equidigital number, since it uses as much as digits as its factorization.

1002200163101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1002200163101 its reverse (1013610022001), we get a palindrome (2015810185102).

The spelling of 1002200163101 in words is "one trillion, two billion, two hundred million, one hundred sixty-three thousand, one hundred one".