4101667001 has 2 divisors, whose sum is σ = 4101667002. Its totient is φ = 4101667000.

The previous prime is 4101666983. The next prime is 4101667007. The reversal of 4101667001 is 1007661014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3776225401 + 325441600 = 61451^2 + 18040^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4101667001 is a prime.

It is not a weakly prime, because it can be changed into another prime (4101667007) 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, 2050833500 + 2050833501.

It is an arithmetic number, because the mean of its divisors is an integer number (2050833501).

Almost surely, 2^4101667001 is an apocalyptic number.

It is an amenable number.

4101667001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101667001 is an equidigital number, since it uses as much as digits as its factorization.

4101667001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 4101667001 is about 64044.2581423191. The cubic root of 4101667001 is about 1600.7375507148.

The spelling of 4101667001 in words is "four billion, one hundred one million, six hundred sixty-seven thousand, one".