10002012002029 has 2 divisors, whose sum is σ = 10002012002030. Its totient is φ = 10002012002028.

The previous prime is 10002012001999. The next prime is 10002012002033. The reversal of 10002012002029 is 92020021020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8092875660804 + 1909136341225 = 2844798^2 + 1381715^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002012002029 - 2²³ = 10002003613421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002012001997 and 10002012002015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002012006029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001006001014 + 5001006001015.

It is an arithmetic number, because the mean of its divisors is an integer number (5001006001015).

Almost surely, 2^{10002012002029} is an apocalyptic number.

It is an amenable number.

10002012002029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002012002029 is an equidigital number, since it uses as much as digits as its factorization.

10002012002029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 10002012002029 in words is "ten trillion, two billion, twelve million, two thousand, twenty-nine".