101110100011101 has 12 divisors (see below), whose sum is σ = 146053362191100. Its totient is φ = 67404222593280.

The previous prime is 101110100011091. The next prime is 101110100011153. The reversal of 101110100011101 is 101110001011101.

It can be written as a sum of positive squares in 2 ways, for example, as 19246076091225 + 81864023919876 = 4387035^2 + 9047874^2 .

It is not a de Polignac number, because 101110100011101 - 2¹⁰ = 101110100010077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110100111101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208973890 + ... + 209457171.

It is an arithmetic number, because the mean of its divisors is an integer number (12171113515925).

Almost surely, 2^{101110100011101} is an apocalyptic number.

It is an amenable number.

101110100011101 is a deficient number, since it is larger than the sum of its proper divisors (44943262179999).

101110100011101 is a wasteful number, since it uses less digits than its factorization.

101110100011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418457916 (or 418457913 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101110100011101 its reverse (101110001011101), we get a palindrome (202220101022202).

The spelling of 101110100011101 in words is "one hundred one trillion, one hundred ten billion, one hundred million, eleven thousand, one hundred one".