4001010001 has 4 divisors (see below), whose sum is σ = 4001260032. Its totient is φ = 4000759972.

The previous prime is 4001009983. The next prime is 4001010043. The reversal of 4001010001 is 1000101004.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4001010001 - 2²¹ = 3998912849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4001010901) 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 in 3 ways as a sum of consecutive naturals, for example, 99241 + ... + 133606.

It is an arithmetic number, because the mean of its divisors is an integer number (1000315008).

Almost surely, 2^4001010001 is an apocalyptic number.

It is an amenable number.

4001010001 is a deficient number, since it is larger than the sum of its proper divisors (250031).

4001010001 is a wasteful number, since it uses less digits than its factorization.

4001010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250030.

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

The square root of 4001010001 is about 63253.5374583904. The cubic root of 4001010001 is about 1587.5346471121.

Adding to 4001010001 its reverse (1000101004), we get a palindrome (5001111005).

The spelling of 4001010001 in words is "four billion, one million, ten thousand, one".