101101000001 has 2 divisors, whose sum is σ = 101101000002. Its totient is φ = 101101000000.

The previous prime is 101100999941. The next prime is 101101000003. The reversal of 101101000001 is 100000101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92488974400 + 8612025601 = 304120^2 + 92801^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101000001 - 2¹⁴ = 101100983617 is a prime.

Together with 101101000003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101101000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550500000 + 50550500001.

It is an arithmetic number, because the mean of its divisors is an integer number (50550500001).

Almost surely, 2^101101000001 is an apocalyptic number.

It is an amenable number.

101101000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101000001 is an equidigital number, since it uses as much as digits as its factorization.

101101000001 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 5.

Adding to 101101000001 its reverse (100000101101), we get a palindrome (201101101102).

The spelling of 101101000001 in words is "one hundred one billion, one hundred one million, one", and thus it is an aban number.