101101110111101 has 16 divisors (see below), whose sum is σ = 108037293912000. Its totient is φ = 94327139858688.

The previous prime is 101101110111091. The next prime is 101101110111137. The reversal of 101101110111101 is 101111011101101.

It is not a de Polignac number, because 101101110111101 - 2¹⁸ = 101101109848957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110111301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4652930 + ... + 14961683.

It is an arithmetic number, because the mean of its divisors is an integer number (6752330869500).

Almost surely, 2^{101101110111101} is an apocalyptic number.

It is an amenable number.

101101110111101 is a deficient number, since it is larger than the sum of its proper divisors (6936183800899).

101101110111101 is a wasteful number, since it uses less digits than its factorization.

101101110111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19618748.

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

Adding to 101101110111101 its reverse (101111011101101), we get a palindrome (202212121212202).

The spelling of 101101110111101 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred one".