1011000101 has 2 divisors, whose sum is σ = 1011000102. Its totient is φ = 1011000100.

The previous prime is 1011000077. The next prime is 1011000187. The reversal of 1011000101 is 1010001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 686964100 + 324036001 = 26210^2 + 18001^2 .

It is an emirp because it is prime and its reverse (1010001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011000101 - 2¹⁴ = 1010983717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011000901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500050 + 505500051.

It is an arithmetic number, because the mean of its divisors is an integer number (505500051).

Almost surely, 2^1011000101 is an apocalyptic number.

It is an amenable number.

1011000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011000101 is an equidigital number, since it uses as much as digits as its factorization.

1011000101 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.

The square root of 1011000101 is about 31796.2277794080. The cubic root of 1011000101 is about 1003.6533372070.

Adding to 1011000101 its reverse (1010001101), we get a palindrome (2021001202).

It can be divided in two parts, 1011000 and 101, that added together give a palindrome (1011101).

The spelling of 1011000101 in words is "one billion, eleven million, one hundred one", and thus it is an aban number.