101001000100999 has 8 divisors (see below), whose sum is σ = 104484217140000. Its totient is φ = 97517811324192.

The previous prime is 101001000100991. The next prime is 101001000101041. The reversal of 101001000100999 is 999001000100101.

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 101001000100999 - 2³ = 101001000100991 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 101001000100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001000100991) 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, 336577 + ... + 14216725.

It is an arithmetic number, because the mean of its divisors is an integer number (13060527142500).

Almost surely, 2^{101001000100999} is an apocalyptic number.

101001000100999 is a deficient number, since it is larger than the sum of its proper divisors (3483217039001).

101001000100999 is a wasteful number, since it uses less digits than its factorization.

101001000100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131097.

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

The spelling of 101001000100999 in words is "one hundred one trillion, one billion, one hundred thousand, nine hundred ninety-nine".