10001121333187 has 2 divisors, whose sum is σ = 10001121333188. Its totient is φ = 10001121333186.

The previous prime is 10001121333157. The next prime is 10001121333221. The reversal of 10001121333187 is 78133312110001.

It is a weak prime.

It is an emirp because it is prime and its reverse (78133312110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001121333187 - 2⁴³ = 1205028310979 is a prime.

It is a super-2 number, since 2×10001121333187² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001121333157) 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, 5000560666593 + 5000560666594.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560666594).

Almost surely, 2^{10001121333187} is an apocalyptic number.

10001121333187 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001121333187 is an equidigital number, since it uses as much as digits as its factorization.

10001121333187 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

Adding to 10001121333187 its reverse (78133312110001), we get a palindrome (88134433443188).

The spelling of 10001121333187 in words is "ten trillion, one billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred eighty-seven".