1001011121009 has 4 divisors (see below), whose sum is σ = 1001779358016. Its totient is φ = 1000242884004.

The previous prime is 1001011120981. The next prime is 1001011121021. The reversal of 1001011121009 is 9001211101001.

It is a happy number.

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 a de Polignac number, because none of the positive numbers 2^k-1001011121009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001011421009) 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, 384116549 + ... + 384119154.

It is an arithmetic number, because the mean of its divisors is an integer number (250444839504).

Almost surely, 2^{1001011121009} is an apocalyptic number.

It is an amenable number.

1001011121009 is a deficient number, since it is larger than the sum of its proper divisors (768237007).

1001011121009 is an equidigital number, since it uses as much as digits as its factorization.

1001011121009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768237006.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 1001011121009 in words is "one trillion, one billion, eleven million, one hundred twenty-one thousand, nine".