100100110100999 has 64 divisors (see below), whose sum is σ = 114601643735040. Its totient is φ = 86848874956800.

The previous prime is 100100110100981. The next prime is 100100110101023. The reversal of 100100110100999 is 999001011001001.

It is not a de Polignac number, because 100100110100999 - 2²⁰ = 100100109052423 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 (100100140100999) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1850218049 + ... + 1850272149.

It is an arithmetic number, because the mean of its divisors is an integer number (1790650683360).

Almost surely, 2^{100100110100999} is an apocalyptic number.

100100110100999 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100100110100999 is a deficient number, since it is larger than the sum of its proper divisors (14501533634041).

100100110100999 is a wasteful number, since it uses less digits than its factorization.

100100110100999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54888.

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

The spelling of 100100110100999 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred thousand, nine hundred ninety-nine".