1110101101001 has 4 divisors (see below), whose sum is σ = 1110106306452. Its totient is φ = 1110095895552.

The previous prime is 1110101100947. The next prime is 1110101101033. The reversal of 1110101101001 is 1001011010111.

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 1100726214025 + 9374886976 = 1049155^2 + 96824^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1110101101001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1110101101001.

It is not an unprimeable number, because it can be changed into a prime (1110101100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2268536 + ... + 2714121.

It is an arithmetic number, because the mean of its divisors is an integer number (277526576613).

Almost surely, 2^{1110101101001} is an apocalyptic number.

It is an amenable number.

1110101101001 is a deficient number, since it is larger than the sum of its proper divisors (5205451).

1110101101001 is an equidigital number, since it uses as much as digits as its factorization.

1110101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205450.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1110101101001 its reverse (1001011010111), we get a palindrome (2111112111112).

The spelling of 1110101101001 in words is "one trillion, one hundred ten billion, one hundred one million, one hundred one thousand, one".