2001002002829 has 2 divisors, whose sum is σ = 2001002002830. Its totient is φ = 2001002002828.

The previous prime is 2001002002799. The next prime is 2001002002837. The reversal of 2001002002829 is 9282002001002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1746811588900 + 254190413929 = 1321670^2 + 504173^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001002002829 - 2¹² = 2001001998733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2001002002798 and 2001002002807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001002002229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000501001414 + 1000501001415.

It is an arithmetic number, because the mean of its divisors is an integer number (1000501001415).

Almost surely, 2^{2001002002829} is an apocalyptic number.

It is an amenable number.

2001002002829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001002002829 is an equidigital number, since it uses as much as digits as its factorization.

2001002002829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 2001002002829 in words is "two trillion, one billion, two million, two thousand, eight hundred twenty-nine".