100000000111101 has 32 divisors (see below), whose sum is σ = 142200831854592. Its totient is φ = 62376064449600.

The previous prime is 100000000111069. The next prime is 100000000111103. The reversal of 100000000111101 is 101111000000001.

It is not a de Polignac number, because 100000000111101 - 2⁵ = 100000000111069 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100000000111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000000111103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85862905 + ... + 87019758.

It is an arithmetic number, because the mean of its divisors is an integer number (4443775995456).

Almost surely, 2^{100000000111101} is an apocalyptic number.

It is an amenable number.

100000000111101 is a deficient number, since it is larger than the sum of its proper divisors (42200831743491).

100000000111101 is a wasteful number, since it uses less digits than its factorization.

100000000111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172882873.

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

Adding to 100000000111101 its reverse (101111000000001), we get a palindrome (201111000111102).

The spelling of 100000000111101 in words is "one hundred trillion, one hundred eleven thousand, one hundred one".