999999000100001 has 6 divisors (see below), whose sum is σ = 1099172454655506. Its totient is φ = 909090000090800.

The previous prime is 999999000099907. The next prime is 999999000100003. The reversal of 999999000100001 is 100001000999999.

It can be written as a sum of positive squares in only one way, i.e., 741550453067776 + 258448547032225 = 27231424^2 + 16076335^2 .

It is not a de Polignac number, because 999999000100001 - 2¹⁸ = 999998999837857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 999999000100001.

It is not an unprimeable number, because it can be changed into a prime (999999000100003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4132227273020 + ... + 4132227273261.

It is an arithmetic number, because the mean of its divisors is an integer number (183195409109251).

Almost surely, 2^{999999000100001} is an apocalyptic number.

It is an amenable number.

999999000100001 is a deficient number, since it is larger than the sum of its proper divisors (99173454555505).

999999000100001 is a wasteful number, since it uses less digits than its factorization.

999999000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264454546303 (or 8264454546292 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 56.

The spelling of 999999000100001 in words is "nine hundred ninety-nine trillion, nine hundred ninety-nine billion, one hundred thousand, one".