77607107101 has 2 divisors, whose sum is σ = 77607107102. Its totient is φ = 77607107100.

The previous prime is 77607107057. The next prime is 77607107107. The reversal of 77607107101 is 10170170677.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68032288900 + 9574818201 = 260830^2 + 97851^2 .

It is an emirp because it is prime and its reverse (10170170677) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77607107101 - 2¹⁵ = 77607074333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77607107107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38803553550 + 38803553551.

It is an arithmetic number, because the mean of its divisors is an integer number (38803553551).

Almost surely, 2^77607107101 is an apocalyptic number.

It is an amenable number.

77607107101 is a deficient number, since it is larger than the sum of its proper divisors (1).

77607107101 is an equidigital number, since it uses as much as digits as its factorization.

77607107101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14406, while the sum is 37.

Adding to 77607107101 its reverse (10170170677), we get a palindrome (87777277778).

The spelling of 77607107101 in words is "seventy-seven billion, six hundred seven million, one hundred seven thousand, one hundred one".