201121102129 has 2 divisors, whose sum is σ = 201121102130. Its totient is φ = 201121102128.

The previous prime is 201121102103. The next prime is 201121102163. The reversal of 201121102129 is 921201121102.

201121102129 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., 199688328225 + 1432773904 = 446865^2 + 37852^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121102129 - 2¹⁷ = 201120971057 is a prime.

It is a super-3 number, since 3×201121102129³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (201121142129) 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, 100560551064 + 100560551065.

It is an arithmetic number, because the mean of its divisors is an integer number (100560551065).

Almost surely, 2^201121102129 is an apocalyptic number.

It is an amenable number.

201121102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121102129 is an equidigital number, since it uses as much as digits as its factorization.

201121102129 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 201121102129 in words is "two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-nine".