100100111000111 has 2 divisors, whose sum is σ = 100100111000112. Its totient is φ = 100100111000110.

The previous prime is 100100111000107. The next prime is 100100111000159. The reversal of 100100111000111 is 111000111001001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100100111000111 - 2² = 100100111000107 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100111000101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055500055 + 50050055500056.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055500056).

Almost surely, 2^{100100111000111} is an apocalyptic number.

100100111000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111000111 is an equidigital number, since it uses as much as digits as its factorization.

100100111000111 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 8.

Adding to 100100111000111 its reverse (111000111001001), we get a palindrome (211100222001112).

The spelling of 100100111000111 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred eleven", and thus it is an aban number.