2100022129 has 2 divisors, whose sum is σ = 2100022130. Its totient is φ = 2100022128.

The previous prime is 2100022103. The next prime is 2100022157. The reversal of 2100022129 is 9212200012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1185080625 + 914941504 = 34425^2 + 30248^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100022129 - 2⁵ = 2100022097 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100022229) 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, 1050011064 + 1050011065.

It is an arithmetic number, because the mean of its divisors is an integer number (1050011065).

Almost surely, 2^2100022129 is an apocalyptic number.

It is an amenable number.

2100022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100022129 is an equidigital number, since it uses as much as digits as its factorization.

2100022129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2100022129 is about 45825.9983961070. The cubic root of 2100022129 is about 1280.5836630568.

The spelling of 2100022129 in words is "two billion, one hundred million, twenty-two thousand, one hundred twenty-nine".