10001001000029 has 8 divisors (see below), whose sum is σ = 10774997660280. Its totient is φ = 9227674181376.

The previous prime is 10001000999953. The next prime is 10001001000043. The reversal of 10001001000029 is 92000010010001.

It can be written as a sum of positive squares in 4 ways, for example, as 52843435129 + 9948157564900 = 229877^2 + 3154070^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001001000029 - 2¹² = 10001000995933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001000999977 and 10001001000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001001000629) 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 in 7 ways as a sum of consecutive naturals, for example, 167429384 + ... + 167489105.

It is an arithmetic number, because the mean of its divisors is an integer number (1346874707535).

Almost surely, 2^{10001001000029} is an apocalyptic number.

It is an amenable number.

10001001000029 is a deficient number, since it is larger than the sum of its proper divisors (773996660251).

10001001000029 is a wasteful number, since it uses less digits than its factorization.

10001001000029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334920799.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10001001000029 in words is "ten trillion, one billion, one million, twenty-nine", and thus it is an aban number and an uban number.