71100111001 has 2 divisors, whose sum is σ = 71100111002. Its totient is φ = 71100111000.

The previous prime is 71100110989. The next prime is 71100111023. The reversal of 71100111001 is 10011100117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61194885376 + 9905225625 = 247376^2 + 99525^2 .

It is a cyclic number.

It is not a de Polignac number, because 71100111001 - 2³¹ = 68952627353 is a prime.

It is not a weakly prime, because it can be changed into another prime (71100111031) 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, 35550055500 + 35550055501.

It is an arithmetic number, because the mean of its divisors is an integer number (35550055501).

Almost surely, 2^71100111001 is an apocalyptic number.

It is an amenable number.

71100111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

71100111001 is an equidigital number, since it uses as much as digits as its factorization.

71100111001 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 13.

Adding to 71100111001 its reverse (10011100117), we get a palindrome (81111211118).

The spelling of 71100111001 in words is "seventy-one billion, one hundred million, one hundred eleven thousand, one".