200221210101220 has 384 divisors, whose sum is σ = 558123722956800. Its totient is φ = 58447833292800.

The previous prime is 200221210101217. The next prime is 200221210101247. The reversal of 200221210101220 is 22101012122002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200221210101194 and 200221210101203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1286103985 + ... + 1286259655.

It is an arithmetic number, because the mean of its divisors is an integer number (1453447195200).

Almost surely, 2^{200221210101220} is an apocalyptic number.

200221210101220 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 200221210101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279061861478400).

200221210101220 is an abundant number, since it is smaller than the sum of its proper divisors (357902512855580).

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

200221210101220 is a wasteful number, since it uses less digits than its factorization.

200221210101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156219 (or 156217 counting only the distinct ones).

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

Adding to 200221210101220 its reverse (22101012122002), we get a palindrome (222322222223222).

The spelling of 200221210101220 in words is "two hundred trillion, two hundred twenty-one billion, two hundred ten million, one hundred one thousand, two hundred twenty".