100001010000111 has 128 divisors (see below), whose sum is σ = 155231954841600. Its totient is φ = 56680212879360.

The previous prime is 100001010000079. The next prime is 100001010000119. The reversal of 100001010000111 is 111000010100001.

It is not a de Polignac number, because 100001010000111 - 2⁵ = 100001010000079 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001010000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001010000119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10779451005 + ... + 10779460281.

It is an arithmetic number, because the mean of its divisors is an integer number (1212749647200).

Almost surely, 2^{100001010000111} is an apocalyptic number.

100001010000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001010000111 is a deficient number, since it is larger than the sum of its proper divisors (55230944841489).

100001010000111 is a wasteful number, since it uses less digits than its factorization.

100001010000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100001010000111 its reverse (111000010100001), we get a palindrome (211001020100112).

It can be divided in two parts, 1000010100001 and 11, that multiplied together give a palindrome (11000111100011).

The spelling of 100001010000111 in words is "one hundred trillion, one billion, ten million, one hundred eleven", and thus it is an aban number.