1101101001 has 80 divisors (see below), whose sum is σ = 2014031040. Its totient is φ = 527506560.

The previous prime is 1101100993. The next prime is 1101101009. The reversal of 1101101001 is 1001011011.

It is an interprime number because it is at equal distance from previous prime (1101100993) and next prime (1101101009).

It is not a de Polignac number, because 1101101001 - 2³ = 1101100993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101101009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1029495 + ... + 1030563.

It is an arithmetic number, because the mean of its divisors is an integer number (25175388).

Almost surely, 2^1101101001 is an apocalyptic number.

1101101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101101001 is a deficient number, since it is larger than the sum of its proper divisors (912930039).

1101101001 is a wasteful number, since it uses less digits than its factorization.

1101101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1103 counting only the distinct ones).

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

The square root of 1101101001 is about 33182.8419668961. The cubic root of 1101101001 is about 1032.6244071104.

Adding to 1101101001 its reverse (1001011011), we get a palindrome (2102112012).

It can be divided in two parts, 110110 and 1001, that added together give a palindrome (111111).

The spelling of 1101101001 in words is "one billion, one hundred one million, one hundred one thousand, one".