100111101111101 has 8 divisors (see below), whose sum is σ = 107191000530360. Its totient is φ = 93163536260608.

The previous prime is 100111101111083. The next prime is 100111101111209. The reversal of 100111101111101 is 101111101111001.

It can be written as a sum of positive squares in 4 ways, for example, as 2308910640100 + 97802190471001 = 1519510^2 + 9889499^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111101111101 - 2⁶ = 100111101111037 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 (100111101116101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33083640626 + ... + 33083643651.

It is an arithmetic number, because the mean of its divisors is an integer number (13398875066295).

Almost surely, 2^{100111101111101} is an apocalyptic number.

It is an amenable number.

100111101111101 is a deficient number, since it is larger than the sum of its proper divisors (7079899419259).

100111101111101 is an equidigital number, since it uses as much as digits as its factorization.

100111101111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66167284383.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 100111101111101 its reverse (101111101111001), we get a palindrome (201222202222102).

The spelling of 100111101111101 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred one".