110000010101009 has 16 divisors (see below), whose sum is σ = 126038737843200. Its totient is φ = 94042397385024.

The previous prime is 110000010100991. The next prime is 110000010101039. The reversal of 110000010101009 is 900101010000011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 110000010101009 - 2²⁰ = 110000009052433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110000010100984 and 110000010101002.

It is not an unprimeable number, because it can be changed into a prime (110000010101039) 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 15 ways as a sum of consecutive naturals, for example, 472784384 + ... + 473016990.

It is an arithmetic number, because the mean of its divisors is an integer number (7877421115200).

Almost surely, 2^{110000010101009} is an apocalyptic number.

It is an amenable number.

110000010101009 is a deficient number, since it is larger than the sum of its proper divisors (16038727742191).

110000010101009 is a wasteful number, since it uses less digits than its factorization.

110000010101009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406672.

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

The spelling of 110000010101009 in words is "one hundred ten trillion, ten million, one hundred one thousand, nine".