4001000000101 has 8 divisors (see below), whose sum is σ = 4312448811104. Its totient is φ = 3690076843440.

The previous prime is 4001000000051. The next prime is 4001000000141. The reversal of 4001000000101 is 1010000001004.

It is a happy number.

4001000000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4001000000101 - 2³⁵ = 3966640261733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001000000141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131397771 + ... + 131428216.

It is an arithmetic number, because the mean of its divisors is an integer number (539056101388).

Almost surely, 2^{4001000000101} is an apocalyptic number.

It is an amenable number.

4001000000101 is a deficient number, since it is larger than the sum of its proper divisors (311448811003).

4001000000101 is a wasteful number, since it uses less digits than its factorization.

4001000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262827171.

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

Adding to 4001000000101 its reverse (1010000001004), we get a palindrome (5011000001105).

The spelling of 4001000000101 in words is "four trillion, one billion, one hundred one", and thus it is an aban number.