10100002873 has 2 divisors, whose sum is σ = 10100002874. Its totient is φ = 10100002872.

The previous prime is 10100002777. The next prime is 10100002907. The reversal of 10100002873 is 37820000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5935623849 + 4164379024 = 77043^2 + 64532^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100002873 - 2²¹ = 10097905721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100002373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050001436 + 5050001437.

It is an arithmetic number, because the mean of its divisors is an integer number (5050001437).

Almost surely, 2^10100002873 is an apocalyptic number.

It is an amenable number.

10100002873 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100002873 is an equidigital number, since it uses as much as digits as its factorization.

10100002873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10100002873 its reverse (37820000101), we get a palindrome (47920002974).

It can be divided in two parts, 101000028 and 73, that added together give a palindrome (101000101).

The spelling of 10100002873 in words is "ten billion, one hundred million, two thousand, eight hundred seventy-three".