21330312010177 has 2 divisors, whose sum is σ = 21330312010178. Its totient is φ = 21330312010176.

The previous prime is 21330312010057. The next prime is 21330312010307. The reversal of 21330312010177 is 77101021303312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20215733508481 + 1114578501696 = 4496191^2 + 1055736^2 .

It is a cyclic number.

It is not a de Polignac number, because 21330312010177 - 2¹¹ = 21330312008129 is a prime.

It is not a weakly prime, because it can be changed into another prime (21330315010177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10665156005088 + 10665156005089.

It is an arithmetic number, because the mean of its divisors is an integer number (10665156005089).

Almost surely, 2^{21330312010177} is an apocalyptic number.

It is an amenable number.

21330312010177 is a deficient number, since it is larger than the sum of its proper divisors (1).

21330312010177 is an equidigital number, since it uses as much as digits as its factorization.

21330312010177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 31.

Adding to 21330312010177 its reverse (77101021303312), we get a palindrome (98431333313489).

The spelling of 21330312010177 in words is "twenty-one trillion, three hundred thirty billion, three hundred twelve million, ten thousand, one hundred seventy-seven".