201000122110129 has 2 divisors, whose sum is σ = 201000122110130. Its totient is φ = 201000122110128.

The previous prime is 201000122110069. The next prime is 201000122110171. The reversal of 201000122110129 is 921011221000102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200982367080625 + 17755029504 = 14176825^2 + 133248^2 .

It is a cyclic number.

It is not a de Polignac number, because 201000122110129 - 2²¹ = 201000120012977 is a prime.

It is not a weakly prime, because it can be changed into another prime (201000122110199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500061055064 + 100500061055065.

It is an arithmetic number, because the mean of its divisors is an integer number (100500061055065).

Almost surely, 2^{201000122110129} is an apocalyptic number.

It is an amenable number.

201000122110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201000122110129 is an equidigital number, since it uses as much as digits as its factorization.

201000122110129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 201000122110129 in words is "two hundred one trillion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-nine".