1000110101 has 2 divisors, whose sum is σ = 1000110102. Its totient is φ = 1000110100.

The previous prime is 1000110091. The next prime is 1000110149. The reversal of 1000110101 is 1010110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 985897201 + 14212900 = 31399^2 + 3770^2 .

It is an emirp because it is prime and its reverse (1010110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000110101 - 2¹⁸ = 999847957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000110401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055050 + 500055051.

It is an arithmetic number, because the mean of its divisors is an integer number (500055051).

Almost surely, 2^1000110101 is an apocalyptic number.

It is an amenable number.

1000110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110101 is an equidigital number, since it uses as much as digits as its factorization.

1000110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 1000110101 is about 31624.5174034324. The cubic root of 1000110101 is about 1000.0366989865.

Adding to 1000110101 its reverse (1010110001), we get a palindrome (2010220102).

It can be divided in two parts, 10001 and 10101, that multiplied together give a palindrome (101020101).

The spelling of 1000110101 in words is "one billion, one hundred ten thousand, one hundred one".