101111011001171 has 2 divisors, whose sum is σ = 101111011001172. Its totient is φ = 101111011001170.

The previous prime is 101111011001087. The next prime is 101111011001201. The reversal of 101111011001171 is 171100110111101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101111011001171 - 2¹⁴ = 101111010984787 is a prime.

It is not a weakly prime, because it can be changed into another prime (101111011000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555505500585 + 50555505500586.

It is an arithmetic number, because the mean of its divisors is an integer number (50555505500586).

Almost surely, 2^{101111011001171} is an apocalyptic number.

101111011001171 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111011001171 is an equidigital number, since it uses as much as digits as its factorization.

101111011001171 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 17.

Adding to 101111011001171 its reverse (171100110111101), we get a palindrome (272211121112272).

The spelling of 101111011001171 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one thousand, one hundred seventy-one".