10021000220220 has 384 divisors, whose sum is σ = 31722934763520. Its totient is φ = 2341622016000.

The previous prime is 10021000220191. The next prime is 10021000220243. The reversal of 10021000220220 is 2202200012001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10021000220196 and 10021000220205.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8399831944 + ... + 8399833136.

It is an arithmetic number, because the mean of its divisors is an integer number (82611809280).

Almost surely, 2^{10021000220220} is an apocalyptic number.

10021000220220 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 10021000220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861467381760).

10021000220220 is an abundant number, since it is smaller than the sum of its proper divisors (21701934543300).

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

10021000220220 is a wasteful number, since it uses less digits than its factorization.

10021000220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10021000220220 its reverse (2202200012001), we get a palindrome (12223200232221).

The spelling of 10021000220220 in words is "ten trillion, twenty-one billion, two hundred twenty thousand, two hundred twenty".