10022112200209 has 8 divisors (see below), whose sum is σ = 10618052374728. Its totient is φ = 9426883599360.

The previous prime is 10022112200189. The next prime is 10022112200251. The reversal of 10022112200209 is 90200221122001.

It can be written as a sum of positive squares in 4 ways, for example, as 556933838400 + 9465178361809 = 746280^2 + 3076553^2 .

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 10022112200209 - 2⁷ = 10022112200081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10022112200209.

It is not an unprimeable number, because it can be changed into a prime (10022112201209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177864412 + ... + 177920749.

It is an arithmetic number, because the mean of its divisors is an integer number (1327256546841).

Almost surely, 2^{10022112200209} is an apocalyptic number.

It is an amenable number.

10022112200209 is a deficient number, since it is larger than the sum of its proper divisors (595940174519).

10022112200209 is a wasteful number, since it uses less digits than its factorization.

10022112200209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355786835.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10022112200209 in words is "ten trillion, twenty-two billion, one hundred twelve million, two hundred thousand, two hundred nine".