101112121111163 has 2 divisors, whose sum is σ = 101112121111164. Its totient is φ = 101112121111162.

The previous prime is 101112121111117. The next prime is 101112121111271. The reversal of 101112121111163 is 361111121211101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101112121111163 - 2²⁸ = 101111852675707 is a prime.

It is a super-2 number, since 2×101112121111163² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101112121111103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060555581 + 50556060555582.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060555582).

Almost surely, 2^{101112121111163} is an apocalyptic number.

101112121111163 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112121111163 is an equidigital number, since it uses as much as digits as its factorization.

101112121111163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 23.

Adding to 101112121111163 its reverse (361111121211101), we get a palindrome (462223242322264).

The spelling of 101112121111163 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred eleven thousand, one hundred sixty-three".