2001022010129 has 2 divisors, whose sum is σ = 2001022010130. Its totient is φ = 2001022010128.

The previous prime is 2001022010087. The next prime is 2001022010179. The reversal of 2001022010129 is 9210102201002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1371538450129 + 629483560000 = 1171127^2 + 793400^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001022010129 - 2³⁶ = 1932302533393 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2001022010129.

It is not a weakly prime, because it can be changed into another prime (2001022010179) 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, 1000511005064 + 1000511005065.

It is an arithmetic number, because the mean of its divisors is an integer number (1000511005065).

Almost surely, 2^{2001022010129} is an apocalyptic number.

It is an amenable number.

2001022010129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001022010129 is an equidigital number, since it uses as much as digits as its factorization.

2001022010129 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 20.

The spelling of 2001022010129 in words is "two trillion, one billion, twenty-two million, ten thousand, one hundred twenty-nine".