10022122122210 has 256 divisors, whose sum is σ = 29371428403200. Its totient is φ = 2411653305600.

The previous prime is 10022122122209. The next prime is 10022122122241. The reversal of 10022122122210 is 1222122122001.

It is a happy number.

10022122122210 is a `hidden beast` number, since 1 + 0 + 0 + 221 + 221 + 2 + 221 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 237486832 + ... + 237529028.

It is an arithmetic number, because the mean of its divisors is an integer number (114732142200).

Almost surely, 2^{10022122122210} is an apocalyptic number.

10022122122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022122122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685714201600).

10022122122210 is an abundant number, since it is smaller than the sum of its proper divisors (19349306280990).

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

10022122122210 is a wasteful number, since it uses less digits than its factorization.

10022122122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42814 (or 42808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10022122122210 its reverse (1222122122001), we get a palindrome (11244244244211).

The spelling of 10022122122210 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred ten".