10000001000029 has 2 divisors, whose sum is σ = 10000001000030. Its totient is φ = 10000001000028.

The previous prime is 10000000999949. The next prime is 10000001000047. The reversal of 10000001000029 is 92000010000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9943868492100 + 56132507929 = 3153390^2 + 236923^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000001000029 - 2³¹ = 9997853516381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000000999982 and 10000001000018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000001400029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000000500014 + 5000000500015.

It is an arithmetic number, because the mean of its divisors is an integer number (5000000500015).

Almost surely, 2^{10000001000029} is an apocalyptic number.

It is an amenable number.

10000001000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000001000029 is an equidigital number, since it uses as much as digits as its factorization.

10000001000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The spelling of 10000001000029 in words is "ten trillion, one million, twenty-nine", and thus it is an aban number and an uban number.