10220221200112 has 320 divisors, whose sum is σ = 25513521315840. Its totient is φ = 3850902144000.

The previous prime is 10220221200073. The next prime is 10220221200191. The reversal of 10220221200112 is 21100212202201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3549919089 + ... + 3549921967.

It is an arithmetic number, because the mean of its divisors is an integer number (79729754112).

Almost surely, 2^{10220221200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220221200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756760657920).

10220221200112 is an abundant number, since it is smaller than the sum of its proper divisors (15293300115728).

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

10220221200112 is a wasteful number, since it uses less digits than its factorization.

10220221200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3654 counting only the distinct ones).

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

Adding to 10220221200112 its reverse (21100212202201), we get a palindrome (31320433402313).

The spelling of 10220221200112 in words is "ten trillion, two hundred twenty billion, two hundred twenty-one million, two hundred thousand, one hundred twelve".