100011001000111 has 2 divisors, whose sum is σ = 100011001000112. Its totient is φ = 100011001000110.

The previous prime is 100011001000109. The next prime is 100011001000133. The reversal of 100011001000111 is 111000100110001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100011001000111 - 2¹ = 100011001000109 is a prime.

Together with 100011001000109, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 100011001000094 and 100011001000103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011001000151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500500055 + 50005500500056.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500500056).

Almost surely, 2^{100011001000111} is an apocalyptic number.

100011001000111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011001000111 is an equidigital number, since it uses as much as digits as its factorization.

100011001000111 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 7.

Adding to 100011001000111 its reverse (111000100110001), we get a palindrome (211011101110112).

The spelling of 100011001000111 in words is "one hundred trillion, eleven billion, one million, one hundred eleven", and thus it is an aban number.