220221210121000 has 192 divisors, whose sum is σ = 572031697844880. Its totient is φ = 79287560000000.

The previous prime is 220221210120943. The next prime is 220221210121009. The reversal of 220221210121000 is 121012122022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11995097999236 + 208226112121764 = 3463394^2 + 14430042^2 .

It is a super-3 number, since 3×220221210121000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (220221210121009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3211050 + ... + 21230950.

Almost surely, 2^{220221210121000} is an apocalyptic number.

220221210121000 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 220221210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286015848922440).

220221210121000 is an abundant number, since it is smaller than the sum of its proper divisors (351810487723880).

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

220221210121000 is a wasteful number, since it uses less digits than its factorization.

220221210121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18020045 (or 18020020 counting only the distinct ones).

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

Adding to 220221210121000 its reverse (121012122022), we get a palindrome (220342222243022).

The spelling of 220221210121000 in words is "two hundred twenty trillion, two hundred twenty-one billion, two hundred ten million, one hundred twenty-one thousand".