4004340101 has 2 divisors, whose sum is σ = 4004340102. Its totient is φ = 4004340100.

The previous prime is 4004340077. The next prime is 4004340113. The reversal of 4004340101 is 1010434004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3410443201 + 593896900 = 58399^2 + 24370^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004340101 - 2¹⁴ = 4004323717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4004340101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004340161) 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, 2002170050 + 2002170051.

It is an arithmetic number, because the mean of its divisors is an integer number (2002170051).

Almost surely, 2^4004340101 is an apocalyptic number.

It is an amenable number.

4004340101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004340101 is an equidigital number, since it uses as much as digits as its factorization.

4004340101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4004340101 is about 63279.8554122874. The cubic root of 4004340101 is about 1587.9749678549.

Adding to 4004340101 its reverse (1010434004), we get a palindrome (5014774105).

The spelling of 4004340101 in words is "four billion, four million, three hundred forty thousand, one hundred one".