100161000064129 has 2 divisors, whose sum is σ = 100161000064130. Its totient is φ = 100161000064128.

The previous prime is 100161000064091. The next prime is 100161000064219. The reversal of 100161000064129 is 921460000161001.

Together with next prime (100161000064219) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93277408268529 + 6883591795600 = 9658023^2 + 2623660^2 .

It is a cyclic number.

It is not a de Polignac number, because 100161000064129 - 2⁷ = 100161000064001 is a prime.

It is a super-2 number, since 2×100161000064129² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100161000064129.

It is not a weakly prime, because it can be changed into another prime (100161000064729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50080500032064 + 50080500032065.

It is an arithmetic number, because the mean of its divisors is an integer number (50080500032065).

Almost surely, 2^{100161000064129} is an apocalyptic number.

It is an amenable number.

100161000064129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100161000064129 is an equidigital number, since it uses as much as digits as its factorization.

100161000064129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 100161000064129 in words is "one hundred trillion, one hundred sixty-one billion, sixty-four thousand, one hundred twenty-nine".