1121011101009 has 8 divisors (see below), whose sum is σ = 1660757186720. Its totient is φ = 747340733988.

The previous prime is 1121011100983. The next prime is 1121011101013. The reversal of 1121011101009 is 9001011101211.

It is not a de Polignac number, because 1121011101009 - 2²⁰ = 1121010052433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1121011100982 and 1121011101000.

It is not an unprimeable number, because it can be changed into a prime (1121011101059) 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 7 ways as a sum of consecutive naturals, for example, 20759464807 + ... + 20759464860.

It is an arithmetic number, because the mean of its divisors is an integer number (207594648340).

Almost surely, 2^{1121011101009} is an apocalyptic number.

It is an amenable number.

1121011101009 is a deficient number, since it is larger than the sum of its proper divisors (539746085711).

1121011101009 is an equidigital number, since it uses as much as digits as its factorization.

1121011101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41518929676 (or 41518929670 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

The spelling of 1121011101009 in words is "one trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, nine".