100001111000101 has 16 divisors (see below), whose sum is σ = 101081003300784. Its totient is φ = 98926918631424.

The previous prime is 100001111000083. The next prime is 100001111000171. The reversal of 100001111000101 is 101000111100001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 197514469476 + 99803596530625 = 444426^2 + 9990175^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001111000101 - 2⁹ = 100001110999589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001111000171) 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, 346387525 + ... + 346676101.

It is an arithmetic number, because the mean of its divisors is an integer number (6317562706299).

Almost surely, 2^{100001111000101} is an apocalyptic number.

It is an amenable number.

100001111000101 is a deficient number, since it is larger than the sum of its proper divisors (1079892300683).

100001111000101 is a wasteful number, since it uses less digits than its factorization.

100001111000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298440.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100001111000101 its reverse (101000111100001), we get a palindrome (201001222100102).

The spelling of 100001111000101 in words is "one hundred trillion, one billion, one hundred eleven million, one hundred one", and thus it is an aban number.