71110100029 has 2 divisors, whose sum is σ = 71110100030. Its totient is φ = 71110100028.

The previous prime is 71110100027. The next prime is 71110100111. The reversal of 71110100029 is 92000101117.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70967894404 + 142205625 = 266398^2 + 11925^2 .

It is an emirp because it is prime and its reverse (92000101117) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71110100029 - 2¹ = 71110100027 is a prime.

It is a super-2 number, since 2×71110100029² (a number of 23 digits) contains 22 as substring.

Together with 71110100027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 71110099982 and 71110100009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71110100023) 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, 35555050014 + 35555050015.

It is an arithmetic number, because the mean of its divisors is an integer number (35555050015).

Almost surely, 2^71110100029 is an apocalyptic number.

It is an amenable number.

71110100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

71110100029 is an equidigital number, since it uses as much as digits as its factorization.

71110100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 22.

The spelling of 71110100029 in words is "seventy-one billion, one hundred ten million, one hundred thousand, twenty-nine".