10220222010020 has 192 divisors, whose sum is σ = 24969813442560. Its totient is φ = 3474659865600.

The previous prime is 10220222010013. The next prime is 10220222010043. The reversal of 10220222010020 is 2001022202201.

It is a junction number, because it is equal to n+sod(n) for n = 10220222009977 and 10220222010004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330618365 + ... + 330649275.

It is an arithmetic number, because the mean of its divisors is an integer number (130051111680).

Almost surely, 2^{10220222010020} is an apocalyptic number.

10220222010020 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 10220222010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484906721280).

10220222010020 is an abundant number, since it is smaller than the sum of its proper divisors (14749591432540).

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

10220222010020 is a wasteful number, since it uses less digits than its factorization.

10220222010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31986 (or 31984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220222010020 its reverse (2001022202201), we get a palindrome (12221244212221).

The spelling of 10220222010020 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, ten thousand, twenty".