4000101 has 16 divisors (see below), whose sum is σ = 6188544. Its totient is φ = 2250864.

The previous prime is 4000093. The next prime is 4000133. The reversal of 4000101 is 1010004.

4000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4000101 - 2³ = 4000093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15 + ... + 2828.

It is an arithmetic number, because the mean of its divisors is an integer number (386784).

Almost surely, 2^4000101 is an apocalyptic number.

It is an amenable number.

4000101 is a deficient number, since it is larger than the sum of its proper divisors (2188443).

4000101 is a wasteful number, since it uses less digits than its factorization.

4000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 4000101 is about 2000.0252498406. The cubic root of 4000101 is about 158.7414412481.

Adding to 4000101 its reverse (1010004), we get a palindrome (5010105).

The spelling of 4000101 in words is "four million, one hundred one", and thus it is an aban number.