2000123102009 has 16 divisors (see below), whose sum is σ = 2025741029760. Its totient is φ = 1974577461120.

The previous prime is 2000123101957. The next prime is 2000123102011. The reversal of 2000123102009 is 9002013210002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000123102009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000120102009) 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 15 ways as a sum of consecutive naturals, for example, 189274844 + ... + 189285410.

It is an arithmetic number, because the mean of its divisors is an integer number (126608814360).

Almost surely, 2^{2000123102009} is an apocalyptic number.

It is an amenable number.

2000123102009 is a deficient number, since it is larger than the sum of its proper divisors (25617927751).

2000123102009 is a wasteful number, since it uses less digits than its factorization.

2000123102009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 2000123102009 in words is "two trillion, one hundred twenty-three million, one hundred two thousand, nine".