21202111000129 has 2 divisors, whose sum is σ = 21202111000130. Its totient is φ = 21202111000128.

The previous prime is 21202111000097. The next prime is 21202111000141. The reversal of 21202111000129 is 92100011120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20327609218225 + 874501781904 = 4508615^2 + 935148^2 .

It is a cyclic number.

It is not a de Polignac number, because 21202111000129 - 2⁵ = 21202111000097 is a prime.

It is a super-2 number, since 2×21202111000129² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21202111000199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601055500064 + 10601055500065.

It is an arithmetic number, because the mean of its divisors is an integer number (10601055500065).

Almost surely, 2^{21202111000129} is an apocalyptic number.

It is an amenable number.

21202111000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202111000129 is an equidigital number, since it uses as much as digits as its factorization.

21202111000129 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 22.

The spelling of 21202111000129 in words is "twenty-one trillion, two hundred two billion, one hundred eleven million, one hundred twenty-nine", and thus it is an aban number.