100100200019 has 2 divisors, whose sum is σ = 100100200020. Its totient is φ = 100100200018.

The previous prime is 100100199973. The next prime is 100100200021. The reversal of 100100200019 is 910002001001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100200019 is a prime.

It is a super-2 number, since 2×100100200019² (a number of 23 digits) contains 22 as substring.

Together with 100100200021, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100199976 and 100100200012.

It is not a weakly prime, because it can be changed into another prime (100100200049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050100009 + 50050100010.

It is an arithmetic number, because the mean of its divisors is an integer number (50050100010).

Almost surely, 2^100100200019 is an apocalyptic number.

100100200019 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100200019 is an equidigital number, since it uses as much as digits as its factorization.

100100200019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 100100200019 in words is "one hundred billion, one hundred million, two hundred thousand, nineteen".