4167249101 has 2 divisors, whose sum is σ = 4167249102. Its totient is φ = 4167249100.

The previous prime is 4167249017. The next prime is 4167249103. The reversal of 4167249101 is 1019427614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3705643876 + 461605225 = 60874^2 + 21485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4167249101 is a prime.

Together with 4167249103, 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 (4167249103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2083624550 + 2083624551.

It is an arithmetic number, because the mean of its divisors is an integer number (2083624551).

Almost surely, 2^4167249101 is an apocalyptic number.

It is an amenable number.

4167249101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4167249101 is an equidigital number, since it uses as much as digits as its factorization.

4167249101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 4167249101 is about 64554.2337960881. The cubic root of 4167249101 is about 1609.2239487382.

The spelling of 4167249101 in words is "four billion, one hundred sixty-seven million, two hundred forty-nine thousand, one hundred one".