2002000103029 has 2 divisors, whose sum is σ = 2002000103030. Its totient is φ = 2002000103028.

The previous prime is 2002000103009. The next prime is 2002000103069. The reversal of 2002000103029 is 9203010002002.

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., 1839088576900 + 162911526129 = 1356130^2 + 403623^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002000103029 - 2¹⁷ = 2001999971957 is a prime.

It is a super-2 number, since 2×2002000103029² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002000102997 and 2002000103015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002000103009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001000051514 + 1001000051515.

It is an arithmetic number, because the mean of its divisors is an integer number (1001000051515).

Almost surely, 2^{2002000103029} is an apocalyptic number.

It is an amenable number.

2002000103029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002000103029 is an equidigital number, since it uses as much as digits as its factorization.

2002000103029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

The spelling of 2002000103029 in words is "two trillion, two billion, one hundred three thousand, twenty-nine".