10221212021020 has 576 divisors, whose sum is σ = 30010155614208. Its totient is φ = 2843672832000.

The previous prime is 10221212020969. The next prime is 10221212021029. The reversal of 10221212021020 is 2012021212201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221212020985 and 10221212021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221212021029) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 956410117 + ... + 956420803.

It is an arithmetic number, because the mean of its divisors is an integer number (52100964608).

Almost surely, 2^{10221212021020} is an apocalyptic number.

10221212021020 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 10221212021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15005077807104).

10221212021020 is an abundant number, since it is smaller than the sum of its proper divisors (19788943593188).

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

10221212021020 is a wasteful number, since it uses less digits than its factorization.

10221212021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221212021020 its reverse (2012021212201), we get a palindrome (12233233233221).

The spelling of 10221212021020 in words is "ten trillion, two hundred twenty-one billion, two hundred twelve million, twenty-one thousand, twenty".