4001110100101 has 8 divisors (see below), whose sum is σ = 4280144463000. Its totient is φ = 3726928508928.

The previous prime is 4001110100093. The next prime is 4001110100173. The reversal of 4001110100101 is 1010010111004.

It can be written as a sum of positive squares in 4 ways, for example, as 1789200512100 + 2211909588001 = 1337610^2 + 1487249^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4001110100101 - 2³ = 4001110100093 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 (4001110100191) 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, 1213191226 + ... + 1213194523.

It is an arithmetic number, because the mean of its divisors is an integer number (535018057875).

Almost surely, 2^{4001110100101} is an apocalyptic number.

It is an amenable number.

4001110100101 is a deficient number, since it is larger than the sum of its proper divisors (279034362899).

4001110100101 is a wasteful number, since it uses less digits than its factorization.

4001110100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426385863.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 4001110100101 its reverse (1010010111004), we get a palindrome (5011120211105).

The spelling of 4001110100101 in words is "four trillion, one billion, one hundred ten million, one hundred thousand, one hundred one".