41102114101 has 2 divisors, whose sum is σ = 41102114102. Its totient is φ = 41102114100.

The previous prime is 41102114087. The next prime is 41102114159. The reversal of 41102114101 is 10141120114.

41102114101 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., 22531511025 + 18570603076 = 150105^2 + 136274^2 .

It is a cyclic number.

It is not a de Polignac number, because 41102114101 - 2⁷ = 41102113973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41102114171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20551057050 + 20551057051.

It is an arithmetic number, because the mean of its divisors is an integer number (20551057051).

Almost surely, 2^41102114101 is an apocalyptic number.

It is an amenable number.

41102114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

41102114101 is an equidigital number, since it uses as much as digits as its factorization.

41102114101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 41102114101 its reverse (10141120114), we get a palindrome (51243234215).

The spelling of 41102114101 in words is "forty-one billion, one hundred two million, one hundred fourteen thousand, one hundred one".