66101029 has 2 divisors, whose sum is σ = 66101030. Its totient is φ = 66101028.

The previous prime is 66101027. The next prime is 66101039. The reversal of 66101029 is 92010166.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66048129 + 52900 = 8127^2 + 230^2 .

It is a cyclic number.

It is not a de Polignac number, because 66101029 - 2¹ = 66101027 is a prime.

Together with 66101027, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 66100994 and 66101012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66101023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33050514 + 33050515.

It is an arithmetic number, because the mean of its divisors is an integer number (33050515).

Almost surely, 2^66101029 is an apocalyptic number.

It is an amenable number.

66101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

66101029 is an equidigital number, since it uses as much as digits as its factorization.

66101029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 66101029 is about 8130.2539320737. The cubic root of 66101029 is about 404.3301001885.

The spelling of 66101029 in words is "sixty-six million, one hundred one thousand, twenty-nine".