1001110110001 has 4 divisors (see below), whose sum is σ = 1005481770100. Its totient is φ = 996738449904.

The previous prime is 1001110109981. The next prime is 1001110110073. The reversal of 1001110110001 is 1000110111001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 382647402225 + 618462707776 = 618585^2 + 786424^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001110110001 - 2¹¹ = 1001110107953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001110110101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2185829706 + ... + 2185830163.

It is an arithmetic number, because the mean of its divisors is an integer number (251370442525).

Almost surely, 2^{1001110110001} is an apocalyptic number.

It is an amenable number.

1001110110001 is a deficient number, since it is larger than the sum of its proper divisors (4371660099).

1001110110001 is an equidigital number, since it uses as much as digits as its factorization.

1001110110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371660098.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1001110110001 its reverse (1000110111001), we get a palindrome (2001220221002).

It can be divided in two parts, 1001110 and 110001, that added together give a palindrome (1111111).

The spelling of 1001110110001 in words is "one trillion, one billion, one hundred ten million, one hundred ten thousand, one".