100110101011009 has 4 divisors (see below), whose sum is σ = 100112122302660. Its totient is φ = 100108079719360.

The previous prime is 100110101011001. The next prime is 100110101011013. The reversal of 100110101011009 is 900110101011001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1491397827984 + 98618703183025 = 1221228^2 + 9930695^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110101011009 - 2³ = 100110101011001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110101010983 and 100110101011001.

It is not an unprimeable number, because it can be changed into a prime (100110101011001) 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 3 ways as a sum of consecutive naturals, for example, 1010571532 + ... + 1010670589.

It is an arithmetic number, because the mean of its divisors is an integer number (25028030575665).

Almost surely, 2^{100110101011009} is an apocalyptic number.

It is an amenable number.

100110101011009 is a deficient number, since it is larger than the sum of its proper divisors (2021291651).

100110101011009 is an equidigital number, since it uses as much as digits as its factorization.

100110101011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021291650.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 100110101011009 in words is "one hundred trillion, one hundred ten billion, one hundred one million, eleven thousand, nine".