77100100310021 has 2 divisors, whose sum is σ = 77100100310022. Its totient is φ = 77100100310020.

The previous prime is 77100100310017. The next prime is 77100100310039. The reversal of 77100100310021 is 12001300100177.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76536444717121 + 563655592900 = 8748511^2 + 750770^2 .

It is an emirp because it is prime and its reverse (12001300100177) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 77100100310021 - 2² = 77100100310017 is a prime.

It is a Sophie Germain 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 (77100100310071) 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, 38550050155010 + 38550050155011.

It is an arithmetic number, because the mean of its divisors is an integer number (38550050155011).

Almost surely, 2^{77100100310021} is an apocalyptic number.

It is an amenable number.

77100100310021 is a deficient number, since it is larger than the sum of its proper divisors (1).

77100100310021 is an equidigital number, since it uses as much as digits as its factorization.

77100100310021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294, while the sum is 23.

Adding to 77100100310021 its reverse (12001300100177), we get a palindrome (89101400410198).

The spelling of 77100100310021 in words is "seventy-seven trillion, one hundred billion, one hundred million, three hundred ten thousand, twenty-one".