10021220011220 has 192 divisors, whose sum is σ = 23396954499072. Its totient is φ = 3574912320000.

The previous prime is 10021220011183. The next prime is 10021220011223. The reversal of 10021220011220 is 2211002212001.

It is a junction number, because it is equal to n+sod(n) for n = 10021220011195 and 10021220011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021220011223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3514982795 + ... + 3514985645.

It is an arithmetic number, because the mean of its divisors is an integer number (121859138016).

Almost surely, 2^{10021220011220} is an apocalyptic number.

10021220011220 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 10021220011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11698477249536).

10021220011220 is an abundant number, since it is smaller than the sum of its proper divisors (13375734487852).

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

10021220011220 is a wasteful number, since it uses less digits than its factorization.

10021220011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10021220011220 its reverse (2211002212001), we get a palindrome (12232222223221).

The spelling of 10021220011220 in words is "ten trillion, twenty-one billion, two hundred twenty million, eleven thousand, two hundred twenty".