101112120011809 has 2 divisors, whose sum is σ = 101112120011810. Its totient is φ = 101112120011808.

The previous prime is 101112120011789. The next prime is 101112120012019. The reversal of 101112120011809 is 908110021211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100675236027025 + 436883984784 = 10033705^2 + 660972^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112120011809 - 2²¹ = 101112117914657 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112120011009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556060005904 + 50556060005905.

It is an arithmetic number, because the mean of its divisors is an integer number (50556060005905).

Almost surely, 2^{101112120011809} is an apocalyptic number.

It is an amenable number.

101112120011809 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112120011809 is an equidigital number, since it uses as much as digits as its factorization.

101112120011809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 28.

The spelling of 101112120011809 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, eleven thousand, eight hundred nine".