101101001100019 has 2 divisors, whose sum is σ = 101101001100020. Its totient is φ = 101101001100018.

The previous prime is 101101001099921. The next prime is 101101001100041. The reversal of 101101001100019 is 910001100101101.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101101001100019 - 2³⁷ = 100963562146547 is a prime.

It is a super-2 number, since 2×101101001100019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101001099975 and 101101001100011.

It is not a weakly prime, because it can be changed into another prime (101101001100089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500550009 + 50550500550010.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500550010).

Almost surely, 2^{101101001100019} is an apocalyptic number.

101101001100019 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101001100019 is an equidigital number, since it uses as much as digits as its factorization.

101101001100019 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 16.

The spelling of 101101001100019 in words is "one hundred one trillion, one hundred one billion, one million, one hundred thousand, nineteen".