101066627 has 2 divisors, whose sum is σ = 101066628. Its totient is φ = 101066626.

The previous prime is 101066621. The next prime is 101066629. The reversal of 101066627 is 726660101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101066627 - 2¹² = 101062531 is a prime.

Together with 101066629, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101066627.

It is not a weakly prime, because it can be changed into another prime (101066621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50533313 + 50533314.

It is an arithmetic number, because the mean of its divisors is an integer number (50533314).

Almost surely, 2^101066627 is an apocalyptic number.

101066627 is a deficient number, since it is larger than the sum of its proper divisors (1).

101066627 is an equidigital number, since it uses as much as digits as its factorization.

101066627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 101066627 is about 10053.1898917707. The cubic root of 101066627 is about 465.8033317603.

The spelling of 101066627 in words is "one hundred one million, sixty-six thousand, six hundred twenty-seven".