4102331344101 has 12 divisors (see below), whose sum is σ = 5925614423820. Its totient is φ = 2734876160640.

The previous prime is 4102331344079. The next prime is 4102331344157. The reversal of 4102331344101 is 1014431332014.

4102331344101 is a `hidden beast` number, since 4 + 1 + 0 + 233 + 13 + 4 + 410 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2479443890625 + 1622887453476 = 1574625^2 + 1273926^2 .

It is not a de Polignac number, because 4102331344101 - 2¹⁸ = 4102331081957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102331340101) 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 11 ways as a sum of consecutive naturals, for example, 1724845 + ... + 3343613.

It is an arithmetic number, because the mean of its divisors is an integer number (493801201985).

Almost surely, 2^{4102331344101} is an apocalyptic number.

It is an amenable number.

4102331344101 is a deficient number, since it is larger than the sum of its proper divisors (1823283079719).

4102331344101 is a wasteful number, since it uses less digits than its factorization.

4102331344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900356 (or 1900353 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4102331344101 its reverse (1014431332014), we get a palindrome (5116762676115).

The spelling of 4102331344101 in words is "four trillion, one hundred two billion, three hundred thirty-one million, three hundred forty-four thousand, one hundred one".