10221010012220 has 192 divisors, whose sum is σ = 25964015616000. Its totient is φ = 3301627080960.

The previous prime is 10221010012193. The next prime is 10221010012247. The reversal of 10221010012220 is 2221001012201.

10221010012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10221010012193) and next prime (10221010012247).

It is a super-3 number, since 3×10221010012220³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10221010012195 and 10221010012204.

It is a congruent number.

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, 419036225 + ... + 419060615.

It is an arithmetic number, because the mean of its divisors is an integer number (135229248000).

Almost surely, 2^{10221010012220} is an apocalyptic number.

10221010012220 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 10221010012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12982007808000).

10221010012220 is an abundant number, since it is smaller than the sum of its proper divisors (15743005603780).

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

10221010012220 is a wasteful number, since it uses less digits than its factorization.

10221010012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25288 (or 25286 counting only the distinct ones).

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

Adding to 10221010012220 its reverse (2221001012201), we get a palindrome (12442011024421).

The spelling of 10221010012220 in words is "ten trillion, two hundred twenty-one billion, ten million, twelve thousand, two hundred twenty".