10221220222220 has 192 divisors, whose sum is σ = 25352856216576. Its totient is φ = 3389201587200.

The previous prime is 10221220222183. The next prime is 10221220222223. The reversal of 10221220222220 is 2222202212201.

It is a super-2 number, since 2×10221220222220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10221220222192 and 10221220222201.

It is not an unprimeable number, because it can be changed into a prime (10221220222223) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 170088299 + ... + 170148381.

It is an arithmetic number, because the mean of its divisors is an integer number (132046126128).

Almost surely, 2^{10221220222220} is an apocalyptic number.

10221220222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221220222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676428108288).

10221220222220 is an abundant number, since it is smaller than the sum of its proper divisors (15131635994356).

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

10221220222220 is a wasteful number, since it uses less digits than its factorization.

10221220222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60480 (or 60478 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10221220222220 its reverse (2222202212201), we get a palindrome (12443422434421).

The spelling of 10221220222220 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty".