1006101101 has 2 divisors, whose sum is σ = 1006101102. Its totient is φ = 1006101100.

The previous prime is 1006101073. The next prime is 1006101133. The reversal of 1006101101 is 1011016001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 951784201 + 54316900 = 30851^2 + 7370^2 .

It is an emirp because it is prime and its reverse (1011016001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006101101 - 2¹⁰ = 1006100077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006101181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503050550 + 503050551.

It is an arithmetic number, because the mean of its divisors is an integer number (503050551).

Almost surely, 2^1006101101 is an apocalyptic number.

It is an amenable number.

1006101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006101101 is an equidigital number, since it uses as much as digits as its factorization.

1006101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1006101101 is about 31719.0967872668. The cubic root of 1006101101 is about 1002.0295783583.

Adding to 1006101101 its reverse (1011016001), we get a palindrome (2017117102).

The spelling of 1006101101 in words is "one billion, six million, one hundred one thousand, one hundred one".