71123122001 has 2 divisors, whose sum is σ = 71123122002. Its totient is φ = 71123122000.

The previous prime is 71123121991. The next prime is 71123122033. The reversal of 71123122001 is 10022132117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58081482001 + 13041640000 = 241001^2 + 114200^2 .

It is an emirp because it is prime and its reverse (10022132117) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71123122001 is a prime.

It is not a weakly prime, because it can be changed into another prime (71123122201) 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, 35561561000 + 35561561001.

It is an arithmetic number, because the mean of its divisors is an integer number (35561561001).

Almost surely, 2^71123122001 is an apocalyptic number.

It is an amenable number.

71123122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

71123122001 is an equidigital number, since it uses as much as digits as its factorization.

71123122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 71123122001 its reverse (10022132117), we get a palindrome (81145254118).

The spelling of 71123122001 in words is "seventy-one billion, one hundred twenty-three million, one hundred twenty-two thousand, one".