100100111 has 2 divisors, whose sum is σ = 100100112. Its totient is φ = 100100110.

The previous prime is 100100107. The next prime is 100100149. The reversal of 100100111 is 111001001.

It is a weak prime.

It is an emirp because it is prime and its reverse (111001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100111 - 2² = 100100107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100095 and 100100104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100103111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055 + 50050056.

It is an arithmetic number, because the mean of its divisors is an integer number (50050056).

Almost surely, 2^100100111 is an apocalyptic number.

100100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111 is an equidigital number, since it uses as much as digits as its factorization.

100100111 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 5.

The square root of 100100111 is about 10005.0042978502. The cubic root of 100100111 is about 464.3137230688.

Adding to 100100111 its reverse (111001001), we get a palindrome (211101112).

It can be divided in two parts, 1001001 and 11, that multiplied together give a palindrome (11011011).

The spelling of 100100111 in words is "one hundred million, one hundred thousand, one hundred eleven".