100010100001129 has 2 divisors, whose sum is σ = 100010100001130. Its totient is φ = 100010100001128.

The previous prime is 100010100001109. The next prime is 100010100001177. The reversal of 100010100001129 is 921100001010001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91992594490729 + 8017505510400 = 9591277^2 + 2831520^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010100001129 - 2¹¹ = 100010099999081 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010100001109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050000564 + 50005050000565.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050000565).

Almost surely, 2^{100010100001129} is an apocalyptic number.

It is an amenable number.

100010100001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100001129 is an equidigital number, since it uses as much as digits as its factorization.

100010100001129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 100010100001129 in words is "one hundred trillion, ten billion, one hundred million, one thousand, one hundred twenty-nine".