2002000101029 has 2 divisors, whose sum is σ = 2002000101030. Its totient is φ = 2002000101028.

The previous prime is 2002000100999. The next prime is 2002000101083. The reversal of 2002000101029 is 9201010002002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1324674393025 + 677325708004 = 1150945^2 + 822998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002000101029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002000100998 and 2002000101016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002000103029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000050514 + 1001000050515.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000050515).

Almost surely, 2^{2002000101029} is an apocalyptic number.

It is an amenable number.

2002000101029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000101029 is an equidigital number, since it uses as much as digits as its factorization.

2002000101029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 2002000101029 in words is "two trillion, two billion, one hundred one thousand, twenty-nine".