2001231002129 has 2 divisors, whose sum is σ = 2001231002130. Its totient is φ = 2001231002128.

The previous prime is 2001231002107. The next prime is 2001231002137. The reversal of 2001231002129 is 9212001321002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1192787253904 + 808443748225 = 1092148^2 + 899135^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001231002129 - 2²⁰ = 2001229953553 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001231005129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000615501064 + 1000615501065.

It is an arithmetic number, because the mean of its divisors is an integer number (1000615501065).

Almost surely, 2^{2001231002129} is an apocalyptic number.

It is an amenable number.

2001231002129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001231002129 is an equidigital number, since it uses as much as digits as its factorization.

2001231002129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 2001231002129 in words is "two trillion, one billion, two hundred thirty-one million, two thousand, one hundred twenty-nine".