105116055560101 has 2 divisors, whose sum is σ = 105116055560102. Its totient is φ = 105116055560100.

The previous prime is 105116055560057. The next prime is 105116055560137. The reversal of 105116055560101 is 101065550611501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52975092003201 + 52140963556900 = 7278399^2 + 7220870^2 .

It is a cyclic number.

It is not a de Polignac number, because 105116055560101 - 2⁷ = 105116055559973 is a prime.

It is a super-2 number, since 2×105116055560101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105116055560141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558027780050 + 52558027780051.

It is an arithmetic number, because the mean of its divisors is an integer number (52558027780051).

Almost surely, 2^{105116055560101} is an apocalyptic number.

It is an amenable number.

105116055560101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116055560101 is an equidigital number, since it uses as much as digits as its factorization.

105116055560101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22500, while the sum is 37.

The spelling of 105116055560101 in words is "one hundred five trillion, one hundred sixteen billion, fifty-five million, five hundred sixty thousand, one hundred one".