220221101020000 has 240 divisors, whose sum is σ = 544333965935760. Its totient is φ = 87673015296000.

The previous prime is 220221101019917. The next prime is 220221101020043. The reversal of 220221101020000 is 20101122022.

It is a happy number.

It is a super-2 number, since 2×220221101020000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12642571291 + ... + 12642588709.

It is an arithmetic number, because the mean of its divisors is an integer number (2268058191399).

Almost surely, 2^{220221101020000} is an apocalyptic number.

220221101020000 is a gapful number since it is divisible by the number (20) 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 220221101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272166982967880).

220221101020000 is an abundant number, since it is smaller than the sum of its proper divisors (324112864915760).

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

220221101020000 is a wasteful number, since it uses less digits than its factorization.

220221101020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20395 (or 20372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220221101020000 its reverse (20101122022), we get a palindrome (220241202142022).

The spelling of 220221101020000 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, twenty thousand".