100001101111127 has 2 divisors, whose sum is σ = 100001101111128. Its totient is φ = 100001101111126.

The previous prime is 100001101111097. The next prime is 100001101111129. The reversal of 100001101111127 is 721111101100001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100001101111127 - 2¹⁶ = 100001101045591 is a prime.

Together with 100001101111129, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001101111129) 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 as a sum of consecutive naturals, namely, 50000550555563 + 50000550555564.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550555564).

Almost surely, 2^{100001101111127} is an apocalyptic number.

100001101111127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001101111127 is an equidigital number, since it uses as much as digits as its factorization.

100001101111127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 17.

Adding to 100001101111127 its reverse (721111101100001), we get a palindrome (821112202211128).

The spelling of 100001101111127 in words is "one hundred trillion, one billion, one hundred one million, one hundred eleven thousand, one hundred twenty-seven".