101000010000019 has 16 divisors (see below), whose sum is σ = 114498419968800. Its totient is φ = 88320438222336.

The previous prime is 101000009999897. The next prime is 101000010000073. The reversal of 101000010000019 is 910000010000101.

It is a cyclic number.

It is not a de Polignac number, because 101000010000019 - 2⁷ = 101000009999891 is a prime.

It is a super-2 number, since 2×101000010000019² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000009999963 and 101000010000008.

It is not an unprimeable number, because it can be changed into a prime (101000010006019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669414 + ... + 14310379.

It is an arithmetic number, because the mean of its divisors is an integer number (7156151248050).

Almost surely, 2^{101000010000019} is an apocalyptic number.

101000010000019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101000010000019 is a deficient number, since it is larger than the sum of its proper divisors (13498409968781).

101000010000019 is a wasteful number, since it uses less digits than its factorization.

101000010000019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005414.

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

The spelling of 101000010000019 in words is "one hundred one trillion, ten million, nineteen", and thus it is an aban number.