4102144000100 has 18 divisors (see below), whose sum is σ = 8901652480434. Its totient is φ = 1640857600000.

The previous prime is 4102144000043. The next prime is 4102144000127. The reversal of 4102144000100 is 10004412014.

It can be written as a sum of positive squares in 3 ways, for example, as 963428623936 + 3138715376164 = 981544^2 + 1771642^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20510719901 + ... + 20510720100.

It is an arithmetic number, because the mean of its divisors is an integer number (494536248913).

Almost surely, 2^{4102144000100} is an apocalyptic number.

It is an amenable number.

4102144000100 is an abundant number, since it is smaller than the sum of its proper divisors (4799508480334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4102144000100 is a wasteful number, since it uses less digits than its factorization.

4102144000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41021440015 (or 41021440008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 4102144000100 its reverse (10004412014), we get a palindrome (4112148412114).

The spelling of 4102144000100 in words is "four trillion, one hundred two billion, one hundred forty-four million, one hundred", and thus it is an aban number.