10012122102163 has 2 divisors, whose sum is σ = 10012122102164. Its totient is φ = 10012122102162.

The previous prime is 10012122102149. The next prime is 10012122102271. The reversal of 10012122102163 is 36120122121001.

10012122102163 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 a de Polignac number, because none of the positive numbers 2^k-10012122102163 is a prime.

It is a super-3 number, since 3×10012122102163³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10012122102113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006061051081 + 5006061051082.

It is an arithmetic number, because the mean of its divisors is an integer number (5006061051082).

Almost surely, 2^{10012122102163} is an apocalyptic number.

10012122102163 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012122102163 is an equidigital number, since it uses as much as digits as its factorization.

10012122102163 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 10012122102163 its reverse (36120122121001), we get a palindrome (46132244223164).

The spelling of 10012122102163 in words is "ten trillion, twelve billion, one hundred twenty-two million, one hundred two thousand, one hundred sixty-three".