4100001001 has 2 divisors, whose sum is σ = 4100001002. Its totient is φ = 4100001000.

The previous prime is 4100000963. The next prime is 4100001019. The reversal of 4100001001 is 1001000014.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3169690000 + 930311001 = 56300^2 + 30501^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100001001 - 2¹⁷ = 4099869929 is a prime.

It is not a weakly prime, because it can be changed into another prime (4100001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050000500 + 2050000501.

It is an arithmetic number, because the mean of its divisors is an integer number (2050000501).

Almost surely, 2^4100001001 is an apocalyptic number.

It is an amenable number.

4100001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100001001 is an equidigital number, since it uses as much as digits as its factorization.

4100001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 4100001001 is about 64031.2501908248. The cubic root of 4100001001 is about 1600.5207941369.

Adding to 4100001001 its reverse (1001000014), we get a palindrome (5101001015).

The spelling of 4100001001 in words is "four billion, one hundred million, one thousand, one".