101001100000019 has 2 divisors, whose sum is σ = 101001100000020. Its totient is φ = 101001100000018.

The previous prime is 101001099999979. The next prime is 101001100000049. The reversal of 101001100000019 is 910000001100101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101001100000019 - 2³² = 100996805032723 is a prime.

It is a super-2 number, since 2×101001100000019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001099999949 and 101001100000012.

It is not a weakly prime, because it can be changed into another prime (101001100000049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550000009 + 50500550000010.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550000010).

Almost surely, 2^{101001100000019} is an apocalyptic number.

101001100000019 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001100000019 is an equidigital number, since it uses as much as digits as its factorization.

101001100000019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 101001100000019 in words is "one hundred one trillion, one billion, one hundred million, nineteen", and thus it is an aban number.