10605050101 has 2 divisors, whose sum is σ = 10605050102. Its totient is φ = 10605050100.

The previous prime is 10605050083. The next prime is 10605050123. The reversal of 10605050101 is 10105050601.

10605050101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9406090225 + 1198959876 = 96985^2 + 34626^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605050101 - 2¹¹ = 10605048053 is a prime.

It is a super-2 number, since 2×10605050101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10605050171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302525050 + 5302525051.

It is an arithmetic number, because the mean of its divisors is an integer number (5302525051).

Almost surely, 2^10605050101 is an apocalyptic number.

It is an amenable number.

10605050101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605050101 is an equidigital number, since it uses as much as digits as its factorization.

10605050101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 10605050101 in words is "ten billion, six hundred five million, fifty thousand, one hundred one".