1000110101101 has 2 divisors, whose sum is σ = 1000110101102. Its totient is φ = 1000110101100.

The previous prime is 1000110101069. The next prime is 1000110101129. The reversal of 1000110101101 is 1011010110001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 861692619076 + 138417482025 = 928274^2 + 372045^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000110101101 - 2⁵ = 1000110101069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000110101141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055050550 + 500055050551.

It is an arithmetic number, because the mean of its divisors is an integer number (500055050551).

Almost surely, 2^{1000110101101} is an apocalyptic number.

It is an amenable number.

1000110101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110101101 is an equidigital number, since it uses as much as digits as its factorization.

1000110101101 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 7.

Adding to 1000110101101 its reverse (1011010110001), we get a palindrome (2011120211102).

The spelling of 1000110101101 in words is "one trillion, one hundred ten million, one hundred one thousand, one hundred one".