100100100111127 has 2 divisors, whose sum is σ = 100100100111128. Its totient is φ = 100100100111126.

The previous prime is 100100100111113. The next prime is 100100100111163. The reversal of 100100100111127 is 721111001001001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100100111127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100100111127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100100112127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050055563 + 50050050055564.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050055564).

Almost surely, 2^{100100100111127} is an apocalyptic number.

100100100111127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100111127 is an equidigital number, since it uses as much as digits as its factorization.

100100100111127 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 100100100111127 its reverse (721111001001001), we get a palindrome (821211101112128).

The spelling of 100100100111127 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred eleven thousand, one hundred twenty-seven".