71738010101 has 2 divisors, whose sum is σ = 71738010102. Its totient is φ = 71738010100.

The previous prime is 71738010077. The next prime is 71738010103. The reversal of 71738010101 is 10101083717.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68209768900 + 3528241201 = 261170^2 + 59399^2 .

It is an emirp because it is prime and its reverse (10101083717) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-71738010101 is a prime.

It is a Sophie Germain prime.

Together with 71738010103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71738010103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35869005050 + 35869005051.

It is an arithmetic number, because the mean of its divisors is an integer number (35869005051).

Almost surely, 2^71738010101 is an apocalyptic number.

It is an amenable number.

71738010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

71738010101 is an equidigital number, since it uses as much as digits as its factorization.

71738010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 29.

Adding to 71738010101 its reverse (10101083717), we get a palindrome (81839093818).

The spelling of 71738010101 in words is "seventy-one billion, seven hundred thirty-eight million, ten thousand, one hundred one".