101001000999 has 8 divisors (see below), whose sum is σ = 134762643712. Its totient is φ = 67286679480.

The previous prime is 101001000979. The next prime is 101001001019. The reversal of 101001000999 is 999000100101.

It is an interprime number because it is at equal distance from previous prime (101001000979) and next prime (101001001019).

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

It is not a de Polignac number, because 101001000999 - 2¹⁶ = 101000935463 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 (101001000979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11825317 + ... + 11833854.

It is an arithmetic number, because the mean of its divisors is an integer number (16845330464).

Almost surely, 2^101001000999 is an apocalyptic number.

101001000999 is a deficient number, since it is larger than the sum of its proper divisors (33761642713).

101001000999 is a wasteful number, since it uses less digits than its factorization.

101001000999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23660597.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 101001000999 in words is "one hundred one billion, one million, nine hundred ninety-nine", and thus it is an aban number.