101001100999 has 8 divisors (see below), whose sum is σ = 106323472640. Its totient is φ = 95679381816.

The previous prime is 101001100987. The next prime is 101001101021. The reversal of 101001100999 is 999001100101.

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 101001100999 - 2¹⁹ = 101000576711 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 101001100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100919) 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, 172354 + ... + 481360.

It is an arithmetic number, because the mean of its divisors is an integer number (13290434080).

Almost surely, 2^101001100999 is an apocalyptic number.

101001100999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101001100999 is a deficient number, since it is larger than the sum of its proper divisors (5322371641).

101001100999 is a wasteful number, since it uses less digits than its factorization.

101001100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326229.

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

The spelling of 101001100999 in words is "one hundred one billion, one million, one hundred thousand, nine hundred ninety-nine".