101011101101111 has 4 divisors (see below), whose sum is σ = 101333820274272. Its totient is φ = 100688381927952.

The previous prime is 101011101101087. The next prime is 101011101101117. The reversal of 101011101101111 is 111101101110101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 101011101101111 - 2⁶ = 101011101101047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011101101092 and 101011101101101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011101101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161359586111 + ... + 161359586736.

It is an arithmetic number, because the mean of its divisors is an integer number (25333455068568).

Almost surely, 2^{101011101101111} is an apocalyptic number.

101011101101111 is a deficient number, since it is larger than the sum of its proper divisors (322719173161).

101011101101111 is an equidigital number, since it uses as much as digits as its factorization.

101011101101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322719173160.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 101011101101111 its reverse (111101101110101), we get a palindrome (212112202211212).

The spelling of 101011101101111 in words is "one hundred one trillion, eleven billion, one hundred one million, one hundred one thousand, one hundred eleven".