71112101 has 2 divisors, whose sum is σ = 71112102. Its totient is φ = 71112100.

The previous prime is 71112073. The next prime is 71112103. The reversal of 71112101 is 10121117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68392900 + 2719201 = 8270^2 + 1649^2 .

It is an emirp because it is prime and its reverse (10121117) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71112101 - 2¹⁸ = 70849957 is a prime.

Together with 71112103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35556050 + 35556051.

It is an arithmetic number, because the mean of its divisors is an integer number (35556051).

Almost surely, 2^71112101 is an apocalyptic number.

It is an amenable number.

71112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

71112101 is an equidigital number, since it uses as much as digits as its factorization.

71112101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

The square root of 71112101 is about 8432.7991201024. The cubic root of 71112101 is about 414.2995898359.

Adding to 71112101 its reverse (10121117), we get a palindrome (81233218).

The spelling of 71112101 in words is "seventy-one million, one hundred twelve thousand, one hundred one".