201121121210129 has 2 divisors, whose sum is σ = 201121121210130. Its totient is φ = 201121121210128.

The previous prime is 201121121210111. The next prime is 201121121210153. The reversal of 201121121210129 is 921012121121102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191099464720129 + 10021656490000 = 13823873^2 + 3165700^2 .

It is a cyclic number.

It is not a de Polignac number, because 201121121210129 - 2⁸ = 201121121209873 is a prime.

It is a super-2 number, since 2×201121121210129² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201121121210098 and 201121121210107.

It is not a weakly prime, because it can be changed into another prime (201121121210179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560560605064 + 100560560605065.

It is an arithmetic number, because the mean of its divisors is an integer number (100560560605065).

Almost surely, 2^{201121121210129} is an apocalyptic number.

It is an amenable number.

201121121210129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201121121210129 is an equidigital number, since it uses as much as digits as its factorization.

201121121210129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 26.

The spelling of 201121121210129 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty-nine".