201101 has 2 divisors, whose sum is σ = 201102. Its totient is φ = 201100.

The previous prime is 201073. The next prime is 201107. The reversal of 201101 is 101102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 75076 = 355^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101 - 2⁶ = 201037 is a prime.

It is a super-2 number, since 2×201101² = 80883224402, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550 + 100551.

It is an arithmetic number, because the mean of its divisors is an integer number (100551).

2²⁰¹¹⁰¹ is an apocalyptic number.

It is an amenable number.

201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101 is an equidigital number, since it uses as much as digits as its factorization.

201101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 201101 is about 448.4428614662. The cubic root of 201101 is about 58.5874698988.

Adding to 201101 its reverse (101102), we get a palindrome (302203).

Subtracting from 201101 its reverse (101102), we obtain a palindrome (99999).

Multiplying 201101 by its reverse (101102), we get a palindrome (20331713302).

It can be divided in two parts, 201 and 101, that multiplied together give a triangular number (20301 = T₂₀₁).

The spelling of 201101 in words is "two hundred one thousand, one hundred one", and thus it is an iban number.