101111001111101 has 2 divisors, whose sum is σ = 101111001111102. Its totient is φ = 101111001111100.

The previous prime is 101111001111077. The next prime is 101111001111143. The reversal of 101111001111101 is 101111100111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96182623311076 + 4928377800025 = 9807274^2 + 2219995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111001111101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111001111181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500555550 + 50555500555551.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500555551).

Almost surely, 2^{101111001111101} is an apocalyptic number.

It is an amenable number.

101111001111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111001111101 is an equidigital number, since it uses as much as digits as its factorization.

101111001111101 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 11.

Adding to 101111001111101 its reverse (101111100111101), we get a palindrome (202222101222202).

The spelling of 101111001111101 in words is "one hundred one trillion, one hundred eleven billion, one million, one hundred eleven thousand, one hundred one".