200101112129 has 2 divisors, whose sum is σ = 200101112130. Its totient is φ = 200101112128.

The previous prime is 200101112087. The next prime is 200101112131. The reversal of 200101112129 is 921211101002.

200101112129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196716199729 + 3384912400 = 443527^2 + 58180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-200101112129 is a prime.

Together with 200101112131, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200101112129.

It is not a weakly prime, because it can be changed into another prime (200101112429) 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 as a sum of consecutive naturals, namely, 100050556064 + 100050556065.

It is an arithmetic number, because the mean of its divisors is an integer number (100050556065).

Almost surely, 2^200101112129 is an apocalyptic number.

It is an amenable number.

200101112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

200101112129 is an equidigital number, since it uses as much as digits as its factorization.

200101112129 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 200101112129 in words is "two hundred billion, one hundred one million, one hundred twelve thousand, one hundred twenty-nine".