1102101100009 has 8 divisors (see below), whose sum is σ = 1356432123200. Its totient is φ = 871992079056.

The previous prime is 1102101099971. The next prime is 1102101100021. The reversal of 1102101100009 is 9000011012011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1102101100009 - 2²⁹ = 1101564229097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102101099965 and 1102101100001.

It is not an unprimeable number, because it can be changed into a prime (1102101100069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6055500459 + ... + 6055500640.

It is an arithmetic number, because the mean of its divisors is an integer number (169554015400).

Almost surely, 2^{1102101100009} is an apocalyptic number.

It is an amenable number.

1102101100009 is a deficient number, since it is larger than the sum of its proper divisors (254331023191).

1102101100009 is a wasteful number, since it uses less digits than its factorization.

1102101100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111001119.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 1102101100009 in words is "one trillion, one hundred two billion, one hundred one million, one hundred thousand, nine".