101610601601 has 2 divisors, whose sum is σ = 101610601602. Its totient is φ = 101610601600.

The previous prime is 101610601597. The next prime is 101610601627. The reversal of 101610601601 is 106106016101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54580173376 + 47030428225 = 233624^2 + 216865^2 .

It is a cyclic number.

It is not a de Polignac number, because 101610601601 - 2² = 101610601597 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101610601691) 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, 50805300800 + 50805300801.

It is an arithmetic number, because the mean of its divisors is an integer number (50805300801).

Almost surely, 2^101610601601 is an apocalyptic number.

It is an amenable number.

101610601601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101610601601 is an equidigital number, since it uses as much as digits as its factorization.

101610601601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 101610601601 its reverse (106106016101), we get a palindrome (207716617702).

The spelling of 101610601601 in words is "one hundred one billion, six hundred ten million, six hundred one thousand, six hundred one".