1100010100109 has 32 divisors (see below), whose sum is σ = 1178470653696. Its totient is φ = 1023165568000.

The previous prime is 1100010100081. The next prime is 1100010100169. The reversal of 1100010100109 is 9010010100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100010100109 - 2²⁴ = 1099993322893 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100010100093 and 1100010100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010100169) 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 31 ways as a sum of consecutive naturals, for example, 550830299 + ... + 550832295.

It is an arithmetic number, because the mean of its divisors is an integer number (36827207928).

Almost surely, 2^{1100010100109} is an apocalyptic number.

It is an amenable number.

1100010100109 is a deficient number, since it is larger than the sum of its proper divisors (78460553587).

1100010100109 is a wasteful number, since it uses less digits than its factorization.

1100010100109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205.

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 1100010100109 in words is "one trillion, one hundred billion, ten million, one hundred thousand, one hundred nine".