4102002001 has 2 divisors, whose sum is σ = 4102002002. Its totient is φ = 4102002000.

The previous prime is 4102001977. The next prime is 4102002007. The reversal of 4102002001 is 1002002014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3113528401 + 988473600 = 55799^2 + 31440^2 .

It is a cyclic number.

It is not a de Polignac number, because 4102002001 - 2¹⁵ = 4101969233 is a prime.

It is not a weakly prime, because it can be changed into another prime (4102002007) 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, 2051001000 + 2051001001.

It is an arithmetic number, because the mean of its divisors is an integer number (2051001001).

Almost surely, 2^4102002001 is an apocalyptic number.

It is an amenable number.

4102002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4102002001 is an equidigital number, since it uses as much as digits as its factorization.

4102002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4102002001 is about 64046.8734677970. The cubic root of 4102002001 is about 1600.7811291331.

Adding to 4102002001 its reverse (1002002014), we get a palindrome (5104004015).

The spelling of 4102002001 in words is "four billion, one hundred two million, two thousand, one".