10029822201 has 81 divisors (see below), whose sum is σ = 17857650213. Its totient is φ = 5408046000.

The previous prime is 10029822193. The next prime is 10029822247. The reversal of 10029822201 is 10222892001.

The square root of 10029822201 is 100149.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10029822201 - 2³ = 10029822193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10029822281) 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 80 ways as a sum of consecutive naturals, for example, 39959326 + ... + 39959576.

Almost surely, 2^10029822201 is an apocalyptic number.

10029822201 is the 100149-th square number.

10029822201 is the 50075-th centered octagonal number.

It is an amenable number.

10029822201 is a deficient number, since it is larger than the sum of its proper divisors (7827828012).

10029822201 is an equidigital number, since it uses as much as digits as its factorization.

10029822201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10029822201 in words is "ten billion, twenty-nine million, eight hundred twenty-two thousand, two hundred one".