100000000001129 has 2 divisors, whose sum is σ = 100000000001130. Its totient is φ = 100000000001128.

The previous prime is 100000000001089. The next prime is 100000000001173. The reversal of 100000000001129 is 921100000000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88528772914729 + 11471227086400 = 9408973^2 + 3386920^2 .

It is an emirp because it is prime and its reverse (921100000000001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100000000001129 - 2²⁴ = 99999983223913 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000000001189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000000000564 + 50000000000565.

It is an arithmetic number, because the mean of its divisors is an integer number (50000000000565).

Almost surely, 2^{100000000001129} is an apocalyptic number.

It is an amenable number.

100000000001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000000001129 is an equidigital number, since it uses as much as digits as its factorization.

100000000001129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 100000000001129 in words is "one hundred trillion, one thousand, one hundred twenty-nine".