2000011112129 has 2 divisors, whose sum is σ = 2000011112130. Its totient is φ = 2000011112128.

The previous prime is 2000011112089. The next prime is 2000011112131. The reversal of 2000011112129 is 9212111100002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1221628404529 + 778382707600 = 1105273^2 + 882260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000011112129 is a prime.

It is a Sophie Germain prime.

Together with 2000011112131, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2000011112129.

It is not a weakly prime, because it can be changed into another prime (2000011118129) 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 as a sum of consecutive naturals, namely, 1000005556064 + 1000005556065.

It is an arithmetic number, because the mean of its divisors is an integer number (1000005556065).

Almost surely, 2^{2000011112129} is an apocalyptic number.

It is an amenable number.

2000011112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000011112129 is an equidigital number, since it uses as much as digits as its factorization.

2000011112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 2000011112129 in words is "two trillion, eleven million, one hundred twelve thousand, one hundred twenty-nine".