1101101000001 has 4 divisors (see below), whose sum is σ = 1468134666672. Its totient is φ = 734067333332.

The previous prime is 1101100999993. The next prime is 1101101000011. The reversal of 1101101000001 is 1000001011011.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1101101000001 - 2³ = 1101100999993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101101000011) 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, 183516833331 + ... + 183516833336.

It is an arithmetic number, because the mean of its divisors is an integer number (367033666668).

Almost surely, 2^{1101101000001} is an apocalyptic number.

It is an amenable number.

1101101000001 is a deficient number, since it is larger than the sum of its proper divisors (367033666671).

1101101000001 is an equidigital number, since it uses as much as digits as its factorization.

1101101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367033666670.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101101000001 its reverse (1000001011011), we get a palindrome (2101102011012).

It can be divided in two parts, 110110 and 1000001, that added together give a palindrome (1110111).

The spelling of 1101101000001 in words is "one trillion, one hundred one billion, one hundred one million, one", and thus it is an aban number.