101101000999 has 8 divisors (see below), whose sum is σ = 102803272848. Its totient is φ = 99400176960.

The previous prime is 101101000991. The next prime is 101101001033. The reversal of 101101000999 is 999000101101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101101000999 - 2³ = 101101000991 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101101000999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101000991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220657 + ... + 500890.

It is an arithmetic number, because the mean of its divisors is an integer number (12850409106).

Almost surely, 2^101101000999 is an apocalyptic number.

101101000999 is a deficient number, since it is larger than the sum of its proper divisors (1702271849).

101101000999 is an equidigital number, since it uses as much as digits as its factorization.

101101000999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723905.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 101101000999 in words is "one hundred one billion, one hundred one million, nine hundred ninety-nine", and thus it is an aban number.