10002166567511 has 2 divisors, whose sum is σ = 10002166567512. Its totient is φ = 10002166567510.

The previous prime is 10002166567429. The next prime is 10002166567559. The reversal of 10002166567511 is 11576566120001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10002166567511 - 2¹⁰ = 10002166566487 is a prime.

It is a super-3 number, since 3×10002166567511³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002166561511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001083283755 + 5001083283756.

It is an arithmetic number, because the mean of its divisors is an integer number (5001083283756).

Almost surely, 2^{10002166567511} is an apocalyptic number.

10002166567511 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002166567511 is an equidigital number, since it uses as much as digits as its factorization.

10002166567511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 41.

The spelling of 10002166567511 in words is "ten trillion, two billion, one hundred sixty-six million, five hundred sixty-seven thousand, five hundred eleven".