4102144000101 has 128 divisors (see below), whose sum is σ = 7080404582400. Its totient is φ = 2298980698560.

The previous prime is 4102144000043. The next prime is 4102144000127. The reversal of 4102144000101 is 1010004412014.

4102144000101 is a `hidden beast` number, since 41 + 0 + 214 + 400 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 4102144000101 - 2⁹ = 4102143999589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102144000001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1549731960 + ... + 1549734606.

It is an arithmetic number, because the mean of its divisors is an integer number (55315660800).

Almost surely, 2^{4102144000101} is an apocalyptic number.

It is an amenable number.

4102144000101 is a deficient number, since it is larger than the sum of its proper divisors (2978260582299).

4102144000101 is a wasteful number, since it uses less digits than its factorization.

4102144000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 4102144000101 its reverse (1010004412014), we get a palindrome (5112148412115).

The spelling of 4102144000101 in words is "four trillion, one hundred two billion, one hundred forty-four million, one hundred one", and thus it is an aban number.