1011066101 has 2 divisors, whose sum is σ = 1011066102. Its totient is φ = 1011066100.

The previous prime is 1011066097. The next prime is 1011066139. The reversal of 1011066101 is 1016601101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 645109201 + 365956900 = 25399^2 + 19130^2 .

It is an emirp because it is prime and its reverse (1016601101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011066101 - 2² = 1011066097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011066101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011065101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505533050 + 505533051.

It is an arithmetic number, because the mean of its divisors is an integer number (505533051).

Almost surely, 2^1011066101 is an apocalyptic number.

It is an amenable number.

1011066101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011066101 is an equidigital number, since it uses as much as digits as its factorization.

1011066101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The square root of 1011066101 is about 31797.2656214336. The cubic root of 1011066101 is about 1003.6751768616.

Adding to 1011066101 its reverse (1016601101), we get a palindrome (2027667202).

The spelling of 1011066101 in words is "one billion, eleven million, sixty-six thousand, one hundred one".