101111001110111 has 2 divisors, whose sum is σ = 101111001110112. Its totient is φ = 101111001110110.

The previous prime is 101111001110099. The next prime is 101111001110137. The reversal of 101111001110111 is 111011100111101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101111001110111 - 2¹⁴ = 101111001093727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111001110092 and 101111001110101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111001100111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500555055 + 50555500555056.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500555056).

Almost surely, 2^{101111001110111} is an apocalyptic number.

101111001110111 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111001110111 is an equidigital number, since it uses as much as digits as its factorization.

101111001110111 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 11.

Adding to 101111001110111 its reverse (111011100111101), we get a palindrome (212122101221212).

The spelling of 101111001110111 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred ten thousand, one hundred eleven".