4001134101 has 16 divisors (see below), whose sum is σ = 5374728000. Its totient is φ = 2647509248.

The previous prime is 4001134079. The next prime is 4001134121. The reversal of 4001134101 is 1014311004.

4001134101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4001134101 - 2⁵ = 4001134069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001134121) 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 in 15 ways as a sum of consecutive naturals, for example, 796285 + ... + 801293.

It is an arithmetic number, because the mean of its divisors is an integer number (335920500).

Almost surely, 2^4001134101 is an apocalyptic number.

It is an amenable number.

4001134101 is a deficient number, since it is larger than the sum of its proper divisors (1373593899).

4001134101 is a wasteful number, since it uses less digits than its factorization.

4001134101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4001134101 is about 63254.5184235877. The cubic root of 4001134101 is about 1587.5510605521.

Adding to 4001134101 its reverse (1014311004), we get a palindrome (5015445105).

The spelling of 4001134101 in words is "four billion, one million, one hundred thirty-four thousand, one hundred one".