101000110101101 has 12 divisors (see below), whose sum is σ = 107573626165500. Its totient is φ = 94806477044928.

The previous prime is 101000110101073. The next prime is 101000110101133. The reversal of 101000110101101 is 101101011000101.

It can be written as a sum of positive squares in 2 ways, for example, as 87152587158025 + 13847522943076 = 9335555^2 + 3721226^2 .

It is not a de Polignac number, because 101000110101101 - 2¹⁰ = 101000110100077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000110101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283349176 + ... + 1283427873.

It is an arithmetic number, because the mean of its divisors is an integer number (8964468847125).

Almost surely, 2^{101000110101101} is an apocalyptic number.

It is an amenable number.

101000110101101 is a deficient number, since it is larger than the sum of its proper divisors (6573516064399).

101000110101101 is a wasteful number, since it uses less digits than its factorization.

101000110101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566777196 (or 2566777177 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101000110101101 its reverse (101101011000101), we get a palindrome (202101121101202).

The spelling of 101000110101101 in words is "one hundred one trillion, one hundred ten million, one hundred one thousand, one hundred one".