10002551305121 has 2 divisors, whose sum is σ = 10002551305122. Its totient is φ = 10002551305120.

The previous prime is 10002551305093. The next prime is 10002551305127. The reversal of 10002551305121 is 12150315520001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8393304294400 + 1609247010721 = 2897120^2 + 1268561^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002551305121 is a prime.

It is a super-2 number, since 2×10002551305121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10002551305127) 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, 5001275652560 + 5001275652561.

It is an arithmetic number, because the mean of its divisors is an integer number (5001275652561).

Almost surely, 2^{10002551305121} is an apocalyptic number.

It is an amenable number.

10002551305121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002551305121 is an equidigital number, since it uses as much as digits as its factorization.

10002551305121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 10002551305121 its reverse (12150315520001), we get a palindrome (22152866825122).

The spelling of 10002551305121 in words is "ten trillion, two billion, five hundred fifty-one million, three hundred five thousand, one hundred twenty-one".