103561164101 has 2 divisors, whose sum is σ = 103561164102. Its totient is φ = 103561164100.

The previous prime is 103561164073. The next prime is 103561164131. The reversal of 103561164101 is 101461165301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96597261601 + 6963902500 = 310801^2 + 83450^2 .

It is a cyclic number.

It is not a de Polignac number, because 103561164101 - 2⁶ = 103561164037 is a prime.

It is a super-3 number, since 3×103561164101³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103561164131) 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, 51780582050 + 51780582051.

It is an arithmetic number, because the mean of its divisors is an integer number (51780582051).

Almost surely, 2^103561164101 is an apocalyptic number.

It is an amenable number.

103561164101 is a deficient number, since it is larger than the sum of its proper divisors (1).

103561164101 is an equidigital number, since it uses as much as digits as its factorization.

103561164101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 103561164101 in words is "one hundred three billion, five hundred sixty-one million, one hundred sixty-four thousand, one hundred one".