101610066601 has 2 divisors, whose sum is σ = 101610066602. Its totient is φ = 101610066600.

The previous prime is 101610066559. The next prime is 101610066619. The reversal of 101610066601 is 106660016101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72079362576 + 29530704025 = 268476^2 + 171845^2 .

It is a cyclic number.

It is not a de Polignac number, because 101610066601 - 2¹¹ = 101610064553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101610066601.

It is not a weakly prime, because it can be changed into another prime (101610066661) 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, 50805033300 + 50805033301.

It is an arithmetic number, because the mean of its divisors is an integer number (50805033301).

Almost surely, 2^101610066601 is an apocalyptic number.

It is an amenable number.

101610066601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101610066601 is an equidigital number, since it uses as much as digits as its factorization.

101610066601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 101610066601 in words is "one hundred one billion, six hundred ten million, sixty-six thousand, six hundred one".