66126243450101 has 2 divisors, whose sum is σ = 66126243450102. Its totient is φ = 66126243450100.

The previous prime is 66126243450089. The next prime is 66126243450187. The reversal of 66126243450101 is 10105434262166.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33646206286225 + 32480037163876 = 5800535^2 + 5699126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66126243450101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66126245450101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33063121725050 + 33063121725051.

It is an arithmetic number, because the mean of its divisors is an integer number (33063121725051).

Almost surely, 2^{66126243450101} is an apocalyptic number.

It is an amenable number.

66126243450101 is a deficient number, since it is larger than the sum of its proper divisors (1).

66126243450101 is an equidigital number, since it uses as much as digits as its factorization.

66126243450101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 66126243450101 in words is "sixty-six trillion, one hundred twenty-six billion, two hundred forty-three million, four hundred fifty thousand, one hundred one".