711111110000101 has 2 divisors, whose sum is σ = 711111110000102. Its totient is φ = 711111110000100.

The previous prime is 711111109999999. The next prime is 711111110000131. The reversal of 711111110000101 is 101000011111117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438718201251201 + 272392908748900 = 20945601^2 + 16504330^2 .

It is an emirp because it is prime and its reverse (101000011111117) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 711111110000101 - 2⁷ = 711111109999973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (711111110000131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 355555555000050 + 355555555000051.

It is an arithmetic number, because the mean of its divisors is an integer number (355555555000051).

Almost surely, 2^{711111110000101} is an apocalyptic number.

It is an amenable number.

711111110000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

711111110000101 is an equidigital number, since it uses as much as digits as its factorization.

711111110000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 16.

Adding to 711111110000101 its reverse (101000011111117), we get a palindrome (812111121111218).

The spelling of 711111110000101 in words is "seven hundred eleven trillion, one hundred eleven billion, one hundred ten million, one hundred one", and thus it is an aban number.