100001000100111 has 16 divisors (see below), whose sum is σ = 146326994166528. Its totient is φ = 60243752552000.

The previous prime is 100001000100109. The next prime is 100001000100151. The reversal of 100001000100111 is 111001000100001.

It is a cyclic number.

It is not a de Polignac number, because 100001000100111 - 2¹ = 100001000100109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001000100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001000100151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9072848790 + ... + 9072859811.

It is an arithmetic number, because the mean of its divisors is an integer number (9145437135408).

Almost surely, 2^{100001000100111} is an apocalyptic number.

100001000100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001000100111 is a deficient number, since it is larger than the sum of its proper divisors (46325994066417).

100001000100111 is a wasteful number, since it uses less digits than its factorization.

100001000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18145708782.

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

Adding to 100001000100111 its reverse (111001000100001), we get a palindrome (211002000200112).

The spelling of 100001000100111 in words is "one hundred trillion, one billion, one hundred thousand, one hundred eleven".