71001112120201 has 2 divisors, whose sum is σ = 71001112120202. Its totient is φ = 71001112120200.

The previous prime is 71001112120187. The next prime is 71001112120217. The reversal of 71001112120201 is 10202121110017.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49983471870201 + 21017640250000 = 7069899^2 + 4584500^2 .

It is an emirp because it is prime and its reverse (10202121110017) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71001112120201 - 2¹⁹ = 71001111595913 is a prime.

It is not a weakly prime, because it can be changed into another prime (71001112120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35500556060100 + 35500556060101.

It is an arithmetic number, because the mean of its divisors is an integer number (35500556060101).

Almost surely, 2^{71001112120201} is an apocalyptic number.

It is an amenable number.

71001112120201 is a deficient number, since it is larger than the sum of its proper divisors (1).

71001112120201 is an equidigital number, since it uses as much as digits as its factorization.

71001112120201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 71001112120201 its reverse (10202121110017), we get a palindrome (81203233230218).

The spelling of 71001112120201 in words is "seventy-one trillion, one billion, one hundred twelve million, one hundred twenty thousand, two hundred one".