10656044102177 has 2 divisors, whose sum is σ = 10656044102178. Its totient is φ = 10656044102176.

The previous prime is 10656044102087. The next prime is 10656044102323. The reversal of 10656044102177 is 77120144065601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6309586348321 + 4346457753856 = 2511889^2 + 2084816^2 .

It is a cyclic number.

It is not a de Polignac number, because 10656044102177 - 2¹² = 10656044098081 is a prime.

It is a super-2 number, since 2×10656044102177² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10656044101177) 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, 5328022051088 + 5328022051089.

It is an arithmetic number, because the mean of its divisors is an integer number (5328022051089).

Almost surely, 2^{10656044102177} is an apocalyptic number.

It is an amenable number.

10656044102177 is a deficient number, since it is larger than the sum of its proper divisors (1).

10656044102177 is an equidigital number, since it uses as much as digits as its factorization.

10656044102177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

Adding to 10656044102177 its reverse (77120144065601), we get a palindrome (87776188167778).

The spelling of 10656044102177 in words is "ten trillion, six hundred fifty-six billion, forty-four million, one hundred two thousand, one hundred seventy-seven".