101001101101 has 2 divisors, whose sum is σ = 101001101102. Its totient is φ = 101001101100.

The previous prime is 101001101099. The next prime is 101001101119. The reversal of 101001101101 is 101101100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69849204100 + 31151897001 = 264290^2 + 176499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001101101 - 2¹ = 101001101099 is a prime.

It is a super-2 number, since 2×101001101101² (a number of 23 digits) contains 22 as substring.

Together with 101001101099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001101141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550550 + 50500550551.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550551).

Almost surely, 2^101001101101 is an apocalyptic number.

It is an amenable number.

101001101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001101101 is an equidigital number, since it uses as much as digits as its factorization.

101001101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101001101101 its reverse (101101100101), we get a palindrome (202102201202).

The spelling of 101001101101 in words is "one hundred one billion, one million, one hundred one thousand, one hundred one".