101001001009999 has 16 divisors (see below), whose sum is σ = 106350854303200. Its totient is φ = 95654553716736.

The previous prime is 101001001009949. The next prime is 101001001010011. The reversal of 101001001009999 is 999900100100101.

It is a cyclic number.

It is not a de Polignac number, because 101001001009999 - 2²³ = 101000992621391 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 (101001001009939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826643677 + ... + 826765849.

It is an arithmetic number, because the mean of its divisors is an integer number (6646928393950).

Almost surely, 2^{101001001009999} is an apocalyptic number.

101001001009999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101001001009999 is a deficient number, since it is larger than the sum of its proper divisors (5349853293201).

101001001009999 is a wasteful number, since it uses less digits than its factorization.

101001001009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135754.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 101001001009999 in words is "one hundred one trillion, one billion, one million, nine thousand, nine hundred ninety-nine".