101100100100999 has 8 divisors (see below), whose sum is σ = 102813831169920. Its totient is φ = 99386374700536.

The previous prime is 101100100100971. The next prime is 101100100101001. The reversal of 101100100100999 is 999001001001101.

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 101100100100999 - 2⁸ = 101100100100743 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 (101100100100929) 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, 50606324 + ... + 52566150.

It is an arithmetic number, because the mean of its divisors is an integer number (12851728896240).

Almost surely, 2^{101100100100999} is an apocalyptic number.

101100100100999 is a deficient number, since it is larger than the sum of its proper divisors (1713731068921).

101100100100999 is an equidigital number, since it uses as much as digits as its factorization.

101100100100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834229.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 101100100100999 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred thousand, nine hundred ninety-nine".