101101 has 16 divisors (see below), whose sum is σ = 137088. Its totient is φ = 72000.

The previous prime is 101089. The next prime is 101107.

101101 is nontrivially palindromic in base 10.

It is a 3-Lehmer number, since φ(101101) divides (101101-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 101101 - 2¹¹ = 99053 is a prime.

It is an Ulam number.

101101 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R₁₀₁₁₀₀.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101107) 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, 951 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

It is a Poulet number, since it divides 2¹⁰¹¹⁰⁰-1.

2¹⁰¹¹⁰¹ is an apocalyptic number.

101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101 is a deficient number, since it is larger than the sum of its proper divisors (35987).

101101 is a wasteful number, since it uses less digits than its factorization.

101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 101101 is about 317.9638344215. The cubic root of 101101 is about 46.5856132715.

It can be divided in two parts, 101 and 101, that added together give a palindrome (202).

The spelling of 101101 in words is "one hundred one thousand, one hundred one", and thus it is an iban number.