105601101001601 has 2 divisors, whose sum is σ = 105601101001602. Its totient is φ = 105601101001600.

The previous prime is 105601101001553. The next prime is 105601101001607. The reversal of 105601101001601 is 106100101106501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58486948200976 + 47114152800625 = 7647676^2 + 6863975^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105601101001601 is a prime.

It is a super-2 number, since 2×105601101001601² (a number of 29 digits) contains 22 as substring.

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 (105601101001607) 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, 52800550500800 + 52800550500801.

It is an arithmetic number, because the mean of its divisors is an integer number (52800550500801).

Almost surely, 2^{105601101001601} is an apocalyptic number.

It is an amenable number.

105601101001601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105601101001601 is an equidigital number, since it uses as much as digits as its factorization.

105601101001601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 105601101001601 in words is "one hundred five trillion, six hundred one billion, one hundred one million, one thousand, six hundred one".