8002127141 has 2 divisors, whose sum is σ = 8002127142. Its totient is φ = 8002127140.

The previous prime is 8002127131. The next prime is 8002127167. The reversal of 8002127141 is 1417212008.

It is an a-pointer prime, because the next prime (8002127167) can be obtained adding 8002127141 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5456924641 + 2545202500 = 73871^2 + 50450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8002127141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8002127141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8002127101) 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 as a sum of consecutive naturals, namely, 4001063570 + 4001063571.

It is an arithmetic number, because the mean of its divisors is an integer number (4001063571).

Almost surely, 2^8002127141 is an apocalyptic number.

8002127141 is the 47816-th centered heptagonal number.

It is an amenable number.

8002127141 is a deficient number, since it is larger than the sum of its proper divisors (1).

8002127141 is an equidigital number, since it uses as much as digits as its factorization.

8002127141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 8002127141 is about 89454.6093893434. The cubic root of 8002127141 is about 2000.1772460415.

Adding to 8002127141 its reverse (1417212008), we get a palindrome (9419339149).

The spelling of 8002127141 in words is "eight billion, two million, one hundred twenty-seven thousand, one hundred forty-one".