4109916101 has 2 divisors, whose sum is σ = 4109916102. Its totient is φ = 4109916100.

The previous prime is 4109916071. The next prime is 4109916103. The reversal of 4109916101 is 1016199014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3694816225 + 415099876 = 60785^2 + 20374^2 .

It is a cyclic number.

It is not a de Polignac number, because 4109916101 - 2¹⁸ = 4109653957 is a prime.

Together with 4109916103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4109916103) 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, 2054958050 + 2054958051.

It is an arithmetic number, because the mean of its divisors is an integer number (2054958051).

Almost surely, 2^4109916101 is an apocalyptic number.

It is an amenable number.

4109916101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4109916101 is an equidigital number, since it uses as much as digits as its factorization.

4109916101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The square root of 4109916101 is about 64108.6273523307. The cubic root of 4109916101 is about 1601.8099441096.

The spelling of 4109916101 in words is "four billion, one hundred nine million, nine hundred sixteen thousand, one hundred one".