101101010009999 has 16 divisors (see below), whose sum is σ = 101820361843200. Its totient is φ = 100382325170400.

The previous prime is 101101010009953. The next prime is 101101010010001. The reversal of 101101010009999 is 999900010101101.

It is a happy number.

It is not a de Polignac number, because 101101010009999 - 2¹² = 101101010005903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101010002999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3636843902 + ... + 3636871700.

It is an arithmetic number, because the mean of its divisors is an integer number (6363772615200).

Almost surely, 2^{101101010009999} is an apocalyptic number.

101101010009999 is a deficient number, since it is larger than the sum of its proper divisors (719351833201).

101101010009999 is a wasteful number, since it uses less digits than its factorization.

101101010009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38870.

The product of its (nonzero) digits is 6561, while the sum is 41.

The spelling of 101101010009999 in words is "one hundred one trillion, one hundred one billion, ten million, nine thousand, nine hundred ninety-nine".