100105061110009 has 2 divisors, whose sum is σ = 100105061110010. Its totient is φ = 100105061110008.

The previous prime is 100105061109997. The next prime is 100105061110057. The reversal of 100105061110009 is 900011160501001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85145741228025 + 14959319881984 = 9227445^2 + 3867728^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105061110009 - 2²¹ = 100105059012857 is a prime.

It is not a weakly prime, because it can be changed into another prime (100105061110069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052530555004 + 50052530555005.

It is an arithmetic number, because the mean of its divisors is an integer number (50052530555005).

Almost surely, 2^{100105061110009} is an apocalyptic number.

It is an amenable number.

100105061110009 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105061110009 is an equidigital number, since it uses as much as digits as its factorization.

100105061110009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 25.

The spelling of 100105061110009 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred ten thousand, nine".