71001110100061 has 2 divisors, whose sum is σ = 71001110100062. Its totient is φ = 71001110100060.

The previous prime is 71001110100059. The next prime is 71001110100133. The reversal of 71001110100061 is 16000101110017.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55040166236836 + 15960943863225 = 7418906^2 + 3995115^2 .

It is a cyclic number.

It is not a de Polignac number, because 71001110100061 - 2¹ = 71001110100059 is a prime.

Together with 71001110100059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71001110100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35500555050030 + 35500555050031.

It is an arithmetic number, because the mean of its divisors is an integer number (35500555050031).

Almost surely, 2^{71001110100061} is an apocalyptic number.

It is an amenable number.

71001110100061 is a deficient number, since it is larger than the sum of its proper divisors (1).

71001110100061 is an equidigital number, since it uses as much as digits as its factorization.

71001110100061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 19.

Adding to 71001110100061 its reverse (16000101110017), we get a palindrome (87001211210078).

The spelling of 71001110100061 in words is "seventy-one trillion, one billion, one hundred ten million, one hundred thousand, sixty-one".