41105135101 has 12 divisors (see below), whose sum is σ = 43218496188. Its totient is φ = 39090596864.

The previous prime is 41105135077. The next prime is 41105135117. The reversal of 41105135101 is 10153150114.

It can be written as a sum of positive squares in 2 ways, for example, as 31937264100 + 9167871001 = 178710^2 + 95749^2 .

It is not a de Polignac number, because 41105135101 - 2²⁹ = 40568264189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41105136101) 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 in 11 ways as a sum of consecutive naturals, for example, 133060 + ... + 316093.

It is an arithmetic number, because the mean of its divisors is an integer number (3601541349).

Almost surely, 2^41105135101 is an apocalyptic number.

It is an amenable number.

41105135101 is a deficient number, since it is larger than the sum of its proper divisors (2113361087).

41105135101 is a wasteful number, since it uses less digits than its factorization.

41105135101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449372 (or 449349 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 41105135101 its reverse (10153150114), we get a palindrome (51258285215).

The spelling of 41105135101 in words is "forty-one billion, one hundred five million, one hundred thirty-five thousand, one hundred one".