1001101122009 has 6 divisors (see below), whose sum is σ = 1446034954026. Its totient is φ = 667400748000.

The previous prime is 1001101122001. The next prime is 1001101122019. The reversal of 1001101122009 is 9002211011001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 944789832009 + 56311290000 = 972003^2 + 237300^2 .

It is not a de Polignac number, because 1001101122009 - 2³ = 1001101122001 is a prime.

It is a super-3 number, since 3×1001101122009³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001101121982 and 1001101122000.

It is not an unprimeable number, because it can be changed into a prime (1001101122001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55616728992 + ... + 55616729009.

It is an arithmetic number, because the mean of its divisors is an integer number (241005825671).

Almost surely, 2^{1001101122009} is an apocalyptic number.

It is an amenable number.

1001101122009 is a deficient number, since it is larger than the sum of its proper divisors (444933832017).

1001101122009 is a wasteful number, since it uses less digits than its factorization.

1001101122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111233458007 (or 111233458004 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 1001101122009 in words is "one trillion, one billion, one hundred one million, one hundred twenty-two thousand, nine".