10002111102163 has 2 divisors, whose sum is σ = 10002111102164. Its totient is φ = 10002111102162.

The previous prime is 10002111102143. The next prime is 10002111102211. The reversal of 10002111102163 is 36120111120001.

10002111102163 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10002111102163 - 2²⁹ = 10001574231251 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10002111102163.

It is not a weakly prime, because it can be changed into another prime (10002111102143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001055551081 + 5001055551082.

It is an arithmetic number, because the mean of its divisors is an integer number (5001055551082).

Almost surely, 2^{10002111102163} is an apocalyptic number.

10002111102163 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002111102163 is an equidigital number, since it uses as much as digits as its factorization.

10002111102163 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 19.

Adding to 10002111102163 its reverse (36120111120001), we get a palindrome (46122222222164).

The spelling of 10002111102163 in words is "ten trillion, two billion, one hundred eleven million, one hundred two thousand, one hundred sixty-three".