1011001001011 has 16 divisors (see below), whose sum is σ = 1018902001248. Its totient is φ = 1003137408000.

The previous prime is 1011001000973. The next prime is 1011001001029. The reversal of 1011001001011 is 1101001001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1011001001011 - 2³⁷ = 873562047539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011001000985 and 1011001001003.

It is not an unprimeable number, because it can be changed into a prime (1011001001051) 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 15 ways as a sum of consecutive naturals, for example, 92433135 + ... + 92444071.

It is an arithmetic number, because the mean of its divisors is an integer number (63681375078).

Almost surely, 2^{1011001001011} is an apocalyptic number.

1011001001011 is a deficient number, since it is larger than the sum of its proper divisors (7901000237).

1011001001011 is a wasteful number, since it uses less digits than its factorization.

1011001001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12582.

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

Adding to 1011001001011 its reverse (1101001001101), we get a palindrome (2112002002112).

The spelling of 1011001001011 in words is "one trillion, eleven billion, one million, one thousand, eleven".