1101001001011 has 32 divisors (see below), whose sum is σ = 1169925120000. Its totient is φ = 1034416787712.

The previous prime is 1101001000993. The next prime is 1101001001017.

It is a happy number.

1101001001011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1101001001011 - 2²¹ = 1100998903859 is a prime.

1101001001011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101001000985 and 1101001001003.

It is not an unprimeable number, because it can be changed into a prime (1101001001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236823015 + ... + 236827663.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160000).

Almost surely, 2^{1101001001011} is an apocalyptic number.

1101001001011 is a deficient number, since it is larger than the sum of its proper divisors (68924118989).

1101001001011 is a wasteful number, since it uses less digits than its factorization.

1101001001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691.

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

It can be divided in two parts, 110100 and 1001011, that added together give a palindrome (1111111).

The spelling of 1101001001011 in words is "one trillion, one hundred one billion, one million, one thousand, eleven".