100111011111101 has 2 divisors, whose sum is σ = 100111011111102. Its totient is φ = 100111011111100.

The previous prime is 100111011111091. The next prime is 100111011111103. The reversal of 100111011111101 is 101111110111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58440306679876 + 41670704431225 = 7644626^2 + 6455285^2 .

It is an emirp because it is prime and its reverse (101111110111001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111011111101 is a prime.

It is a Sophie Germain prime.

Together with 100111011111103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111011111103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505555550 + 50055505555551.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505555551).

Almost surely, 2^{100111011111101} is an apocalyptic number.

It is an amenable number.

100111011111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011111101 is an equidigital number, since it uses as much as digits as its factorization.

100111011111101 is an evil number, because the sum of its binary digits is even.

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

Adding to 100111011111101 its reverse (101111110111001), we get a palindrome (201222121222102).

The spelling of 100111011111101 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred one".