1100001221109 has 80 divisors (see below), whose sum is σ = 1977423972480. Its totient is φ = 595300233600.

The previous prime is 1100001221051. The next prime is 1100001221141. The reversal of 1100001221109 is 9011221000011.

It is a happy number.

It is not a de Polignac number, because 1100001221109 - 2⁸ = 1100001220853 is a prime.

It is a super-2 number, since 2×1100001221109² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100001221091 and 1100001221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100001201109) 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 79 ways as a sum of consecutive naturals, for example, 38046559 + ... + 38075459.

It is an arithmetic number, because the mean of its divisors is an integer number (24717799656).

Almost surely, 2^{1100001221109} is an apocalyptic number.

1100001221109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1100001221109 is a deficient number, since it is larger than the sum of its proper divisors (877422751371).

1100001221109 is a wasteful number, since it uses less digits than its factorization.

1100001221109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32472 (or 32463 counting only the distinct ones).

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

The spelling of 1100001221109 in words is "one trillion, one hundred billion, one million, two hundred twenty-one thousand, one hundred nine".