101587166984129 has 2 divisors, whose sum is σ = 101587166984130. Its totient is φ = 101587166984128.

The previous prime is 101587166984057. The next prime is 101587166984179. The reversal of 101587166984129 is 921489661785101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74020676839729 + 27566490144400 = 8603527^2 + 5250380^2 .

It is a cyclic number.

It is not a de Polignac number, because 101587166984129 - 2²⁰ = 101587165935553 is a prime.

It is a super-2 number, since 2×101587166984129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101587166984179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50793583492064 + 50793583492065.

It is an arithmetic number, because the mean of its divisors is an integer number (50793583492065).

Almost surely, 2^{101587166984129} is an apocalyptic number.

It is an amenable number.

101587166984129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101587166984129 is an equidigital number, since it uses as much as digits as its factorization.

101587166984129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52254720, while the sum is 68.

The spelling of 101587166984129 in words is "one hundred one trillion, five hundred eighty-seven billion, one hundred sixty-six million, nine hundred eighty-four thousand, one hundred twenty-nine".