10201222002200 has 48 divisors (see below), whose sum is σ = 24749051651280. Its totient is φ = 3903076242560.

The previous prime is 10201222002121. The next prime is 10201222002227. The reversal of 10201222002200 is 220022210201.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1108823879 + ... + 1108833078.

It is an arithmetic number, because the mean of its divisors is an integer number (515605242735).

Almost surely, 2^{10201222002200} is an apocalyptic number.

10201222002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201222002200 is an abundant number, since it is smaller than the sum of its proper divisors (14547829649080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201222002200 is a wasteful number, since it uses less digits than its factorization.

10201222002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217656996 (or 2217656987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10201222002200 its reverse (220022210201), we get a palindrome (10421244212401).

The spelling of 10201222002200 in words is "ten trillion, two hundred one billion, two hundred twenty-two million, two thousand, two hundred".