100100011102019 has 2 divisors, whose sum is σ = 100100011102020. Its totient is φ = 100100011102018.

The previous prime is 100100011101967. The next prime is 100100011102037. The reversal of 100100011102019 is 910201110001001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100011102019 - 2³² = 100095716134723 is a prime.

It is a super-2 number, since 2×100100011102019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100011101988 and 100100011102006.

It is not a weakly prime, because it can be changed into another prime (100100011104019) 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, 50050005551009 + 50050005551010.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005551010).

Almost surely, 2^{100100011102019} is an apocalyptic number.

100100011102019 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100011102019 is an equidigital number, since it uses as much as digits as its factorization.

100100011102019 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 17.

The spelling of 100100011102019 in words is "one hundred trillion, one hundred billion, eleven million, one hundred two thousand, nineteen".