100100100112127 has 2 divisors, whose sum is σ = 100100100112128. Its totient is φ = 100100100112126.

The previous prime is 100100100112121. The next prime is 100100100112157. The reversal of 100100100112127 is 721211001001001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100100112127 - 2⁶ = 100100100112063 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100100112121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050056063 + 50050050056064.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050056064).

Almost surely, 2^{100100100112127} is an apocalyptic number.

100100100112127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100112127 is an equidigital number, since it uses as much as digits as its factorization.

100100100112127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 17.

Adding to 100100100112127 its reverse (721211001001001), we get a palindrome (821311101113128).

The spelling of 100100100112127 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred twelve thousand, one hundred twenty-seven".