67166052101 has 2 divisors, whose sum is σ = 67166052102. Its totient is φ = 67166052100.

The previous prime is 67166052067. The next prime is 67166052167. The reversal of 67166052101 is 10125066176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59890815076 + 7275237025 = 244726^2 + 85295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67166052101 is a prime.

It is a super-2 number, since 2×67166052101² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67166052601) 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, 33583026050 + 33583026051.

It is an arithmetic number, because the mean of its divisors is an integer number (33583026051).

Almost surely, 2^67166052101 is an apocalyptic number.

It is an amenable number.

67166052101 is a deficient number, since it is larger than the sum of its proper divisors (1).

67166052101 is an equidigital number, since it uses as much as digits as its factorization.

67166052101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 67166052101 in words is "sixty-seven billion, one hundred sixty-six million, fifty-two thousand, one hundred one".