77130241104001 has 2 divisors, whose sum is σ = 77130241104002. Its totient is φ = 77130241104000.

The previous prime is 77130241103969. The next prime is 77130241104017. The reversal of 77130241104001 is 10040114203177.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69554265606400 + 7575975497601 = 8339920^2 + 2752449^2 .

It is an emirp because it is prime and its reverse (10040114203177) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77130241104001 - 2⁵ = 77130241103969 is a prime.

It is a super-2 number, since 2×77130241104001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (77130241104041) 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, 38565120552000 + 38565120552001.

It is an arithmetic number, because the mean of its divisors is an integer number (38565120552001).

Almost surely, 2^{77130241104001} is an apocalyptic number.

It is an amenable number.

77130241104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

77130241104001 is an equidigital number, since it uses as much as digits as its factorization.

77130241104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 31.

Adding to 77130241104001 its reverse (10040114203177), we get a palindrome (87170355307178).

The spelling of 77130241104001 in words is "seventy-seven trillion, one hundred thirty billion, two hundred forty-one million, one hundred four thousand, one".