10002000211129 has 2 divisors, whose sum is σ = 10002000211130. Its totient is φ = 10002000211128.

The previous prime is 10002000211127. The next prime is 10002000211213. The reversal of 10002000211129 is 92111200020001.

It is a happy number.

10002000211129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5403021313600 + 4598978897529 = 2324440^2 + 2144523^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002000211129 - 2¹ = 10002000211127 is a prime.

Together with 10002000211127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10002000211121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001000105564 + 5001000105565.

It is an arithmetic number, because the mean of its divisors is an integer number (5001000105565).

Almost surely, 2^{10002000211129} is an apocalyptic number.

It is an amenable number.

10002000211129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002000211129 is an equidigital number, since it uses as much as digits as its factorization.

10002000211129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 10002000211129 in words is "ten trillion, two billion, two hundred eleven thousand, one hundred twenty-nine".