100111013323127 has 2 divisors, whose sum is σ = 100111013323128. Its totient is φ = 100111013323126.

The previous prime is 100111013322959. The next prime is 100111013323133. The reversal of 100111013323127 is 721323310111001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100111013323127 - 2⁸ = 100111013322871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111013323096 and 100111013323105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111013323157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055506661563 + 50055506661564.

It is an arithmetic number, because the mean of its divisors is an integer number (50055506661564).

Almost surely, 2^{100111013323127} is an apocalyptic number.

100111013323127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111013323127 is an equidigital number, since it uses as much as digits as its factorization.

100111013323127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 100111013323127 its reverse (721323310111001), we get a palindrome (821434323434128).

The spelling of 100111013323127 in words is "one hundred trillion, one hundred eleven billion, thirteen million, three hundred twenty-three thousand, one hundred twenty-seven".