110010000001009 has 2 divisors, whose sum is σ = 110010000001010. Its totient is φ = 110010000001008.

The previous prime is 110010000000991. The next prime is 110010000001037. The reversal of 110010000001009 is 900100000010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72033039123984 + 37976960877025 = 8487228^2 + 6162545^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010000001009 - 2⁷ = 110010000000881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010000001009.

It is not a weakly prime, because it can be changed into another prime (110010000001609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005000000504 + 55005000000505.

It is an arithmetic number, because the mean of its divisors is an integer number (55005000000505).

Almost surely, 2^{110010000001009} is an apocalyptic number.

It is an amenable number.

110010000001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010000001009 is an equidigital number, since it uses as much as digits as its factorization.

110010000001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 110010000001009 in words is "one hundred ten trillion, ten billion, one thousand, nine".