101110000100111 has 2 divisors, whose sum is σ = 101110000100112. Its totient is φ = 101110000100110.

The previous prime is 101110000100099. The next prime is 101110000100119. The reversal of 101110000100111 is 111001000011101.

It is an a-pointer prime, because the next prime (101110000100119) can be obtained adding 101110000100111 to its sum of digits (8).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110000100111 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110000100119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555000050055 + 50555000050056.

It is an arithmetic number, because the mean of its divisors is an integer number (50555000050056).

Almost surely, 2^{101110000100111} is an apocalyptic number.

101110000100111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110000100111 is an equidigital number, since it uses as much as digits as its factorization.

101110000100111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101110000100111 its reverse (111001000011101), we get a palindrome (212111000111212).

The spelling of 101110000100111 in words is "one hundred one trillion, one hundred ten billion, one hundred thousand, one hundred eleven".