100010000511 has 16 divisors (see below), whose sum is σ = 150192596320. Its totient is φ = 65759999040.

The previous prime is 100010000479. The next prime is 100010000527. The reversal of 100010000511 is 115000010001.

It is not a de Polignac number, because 100010000511 - 2⁵ = 100010000479 is a prime.

It is a super-2 number, since 2×100010000511² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010000493 and 100010000502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010000911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25368400 + ... + 25372341.

It is an arithmetic number, because the mean of its divisors is an integer number (9387037270).

Almost surely, 2^100010000511 is an apocalyptic number.

100010000511 is a deficient number, since it is larger than the sum of its proper divisors (50182595809).

100010000511 is an equidigital number, since it uses as much as digits as its factorization.

100010000511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50740823 (or 50740817 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 100010000511 its reverse (115000010001), we get a palindrome (215010010512).

The spelling of 100010000511 in words is "one hundred billion, ten million, five hundred eleven", and thus it is an aban number.