10222022210202 has 384 divisors, whose sum is σ = 27029949972480. Its totient is φ = 2756249856000.

The previous prime is 10222022210201. The next prime is 10222022210299. The reversal of 10222022210202 is 20201222022201.

10222022210202 is a `hidden beast` number, since 10 + 2 + 220 + 22 + 210 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10222022210201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1868398327 + ... + 1868403797.

It is an arithmetic number, because the mean of its divisors is an integer number (70390494720).

Almost surely, 2^{10222022210202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222022210202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514974986240).

10222022210202 is an abundant number, since it is smaller than the sum of its proper divisors (16807927762278).

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

10222022210202 is a wasteful number, since it uses less digits than its factorization.

10222022210202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 6007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10222022210202 its reverse (20201222022201), we get a palindrome (30423244232403).

The spelling of 10222022210202 in words is "ten trillion, two hundred twenty-two billion, twenty-two million, two hundred ten thousand, two hundred two".