66127872101 has 2 divisors, whose sum is σ = 66127872102. Its totient is φ = 66127872100.

The previous prime is 66127872091. The next prime is 66127872163. The reversal of 66127872101 is 10127872166.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64084922500 + 2042949601 = 253150^2 + 45199^2 .

It is a cyclic number.

It is not a de Polignac number, because 66127872101 - 2⁶ = 66127872037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66127872001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33063936050 + 33063936051.

It is an arithmetic number, because the mean of its divisors is an integer number (33063936051).

Almost surely, 2^66127872101 is an apocalyptic number.

It is an amenable number.

66127872101 is a deficient number, since it is larger than the sum of its proper divisors (1).

66127872101 is an equidigital number, since it uses as much as digits as its factorization.

66127872101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 66127872101 in words is "sixty-six billion, one hundred twenty-seven million, eight hundred seventy-two thousand, one hundred one".