221222020022010 has 288 divisors, whose sum is σ = 683489216247552. Its totient is φ = 49476894647040.

The previous prime is 221222020021973. The next prime is 221222020022023. The reversal of 221222020022010 is 10220020222122.

221222020022010 is a `hidden beast` number, since 2 + 2 + 12 + 220 + 200 + 220 + 10 = 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 (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 847811124 + ... + 848072016.

It is an arithmetic number, because the mean of its divisors is an integer number (2373226445304).

Almost surely, 2^{221222020022010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221222020022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341744608123776).

221222020022010 is an abundant number, since it is smaller than the sum of its proper divisors (462267196225542).

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

221222020022010 is a wasteful number, since it uses less digits than its factorization.

221222020022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265058 (or 265048 counting only the distinct ones).

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

Adding to 221222020022010 its reverse (10220020222122), we get a palindrome (231442040244132).

The spelling of 221222020022010 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twenty million, twenty-two thousand, ten".