2110100002009 has 4 divisors (see below), whose sum is σ = 2110183605504. Its totient is φ = 2110016398516.

The previous prime is 2110100001983. The next prime is 2110100002033. The reversal of 2110100002009 is 9002000010112.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2110100002009 - 2⁹ = 2110100001497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2110100001983 and 2110100002001.

It is not an unprimeable number, because it can be changed into a prime (2110100003009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41763877 + ... + 41814370.

It is an arithmetic number, because the mean of its divisors is an integer number (527545901376).

Almost surely, 2^{2110100002009} is an apocalyptic number.

It is an amenable number.

2110100002009 is a deficient number, since it is larger than the sum of its proper divisors (83603495).

2110100002009 is an equidigital number, since it uses as much as digits as its factorization.

2110100002009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83603494.

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 2110100002009 in words is "two trillion, one hundred ten billion, one hundred million, two thousand, nine".