66737406101 has 2 divisors, whose sum is σ = 66737406102. Its totient is φ = 66737406100.

The previous prime is 66737406089. The next prime is 66737406167. The reversal of 66737406101 is 10160473766.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40511223076 + 26226183025 = 201274^2 + 161945^2 .

It is a cyclic number.

It is not a de Polignac number, because 66737406101 - 2³⁰ = 65663664277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66737406181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33368703050 + 33368703051.

It is an arithmetic number, because the mean of its divisors is an integer number (33368703051).

Almost surely, 2^66737406101 is an apocalyptic number.

It is an amenable number.

66737406101 is a deficient number, since it is larger than the sum of its proper divisors (1).

66737406101 is an equidigital number, since it uses as much as digits as its factorization.

66737406101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127008, while the sum is 41.

Adding to 66737406101 its reverse (10160473766), we get a palindrome (76897879867).

The spelling of 66737406101 in words is "sixty-six billion, seven hundred thirty-seven million, four hundred six thousand, one hundred one".