100011000219 has 16 divisors (see below), whose sum is σ = 143612069664. Its totient is φ = 61542432000.

The previous prime is 100011000209. The next prime is 100011000239. The reversal of 100011000219 is 912000110001.

It is not a de Polignac number, because 100011000219 - 2²⁷ = 99876782491 is a prime.

It is a super-2 number, since 2×100011000219² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100011000198 and 100011000207.

It is not an unprimeable number, because it can be changed into a prime (100011000209) 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 15 ways as a sum of consecutive naturals, for example, 1103029 + ... + 1190249.

It is an arithmetic number, because the mean of its divisors is an integer number (8975754354).

Almost surely, 2^100011000219 is an apocalyptic number.

100011000219 is a deficient number, since it is larger than the sum of its proper divisors (43601069445).

100011000219 is a wasteful number, since it uses less digits than its factorization.

100011000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116638.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 100011000219 in words is "one hundred billion, eleven million, two hundred nineteen", and thus it is an aban number.