10221200221120 has 168 divisors, whose sum is σ = 28671381051840. Its totient is φ = 3460051445760.

The previous prime is 10221200221103. The next prime is 10221200221121. The reversal of 10221200221120 is 2112200212201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10221200221094 and 10221200221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200221121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886991 + ... + 5364430.

Almost surely, 2^{10221200221120} is an apocalyptic number.

10221200221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221200221120 is an abundant number, since it is smaller than the sum of its proper divisors (18450180830720).

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

10221200221120 is an equidigital number, since it uses as much as digits as its factorization.

10221200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251531 (or 8251514 counting only the distinct ones).

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

Adding to 10221200221120 its reverse (2112200212201), we get a palindrome (12333400433321).

The spelling of 10221200221120 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".