100112012112163 has 2 divisors, whose sum is σ = 100112012112164. Its totient is φ = 100112012112162.

The previous prime is 100112012112157. The next prime is 100112012112241. The reversal of 100112012112163 is 361211210211001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100112012112163 - 2⁵ = 100112012112131 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112112112163) 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, 50056006056081 + 50056006056082.

It is an arithmetic number, because the mean of its divisors is an integer number (50056006056082).

Almost surely, 2^{100112012112163} is an apocalyptic number.

100112012112163 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112012112163 is an equidigital number, since it uses as much as digits as its factorization.

100112012112163 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 22.

Adding to 100112012112163 its reverse (361211210211001), we get a palindrome (461323222323164).

The spelling of 100112012112163 in words is "one hundred trillion, one hundred twelve billion, twelve million, one hundred twelve thousand, one hundred sixty-three".