100100010019 has 8 divisors (see below), whose sum is σ = 102626904240. Its totient is φ = 97577184000.

The previous prime is 100100009993. The next prime is 100100010047. The reversal of 100100010019 is 910010001001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100010019 is a prime.

It is a super-2 number, since 2×100100010019² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100009990 and 100100010008.

It is not an unprimeable number, because it can be changed into a prime (100100010319) 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 7 ways as a sum of consecutive naturals, for example, 967189 + ... + 1065670.

It is an arithmetic number, because the mean of its divisors is an integer number (12828363030).

Almost surely, 2^100100010019 is an apocalyptic number.

100100010019 is a deficient number, since it is larger than the sum of its proper divisors (2526894221).

100100010019 is a wasteful number, since it uses less digits than its factorization.

100100010019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034101.

The product of its (nonzero) digits is 9, while the sum is 13.

It can be divided in two parts, 10010001001 and 9, that multiplied together give a palindrome (90090009009).

The spelling of 100100010019 in words is "one hundred billion, one hundred million, ten thousand, nineteen".