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201221011002200 = 235272943313368243
BaseRepresentation
bin101101110000001001101010…
…111000011101001101011000
3222101110112121020020200002112
4231300021222320131031120
5202333301112304032300
61551543353432451452
760245511143510660
oct5560115270351530
9871415536220075
10201221011002200
115912a395987372
121a699b91549b88
1388380a1841467
1437992128071a0
15183e34864be35
hexb7026ae1d358

201221011002200 has 384 divisors, whose sum is σ = 567782756006400. Its totient is φ = 64853956177920.

The previous prime is 201221011002191. The next prime is 201221011002203. The reversal of 201221011002200 is 2200110122102.

201221011002200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221011002203) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 546251279 + ... + 546619521.

It is an arithmetic number, because the mean of its divisors is an integer number (1478600927100).

Almost surely, 2201221011002200 is an apocalyptic number.

201221011002200 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 201221011002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283891378003200).

201221011002200 is an abundant number, since it is smaller than the sum of its proper divisors (366561745004200).

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

201221011002200 is a wasteful number, since it uses less digits than its factorization.

201221011002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368651 (or 368642 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201221011002200 its reverse (2200110122102), we get a palindrome (203421121124302).

The spelling of 201221011002200 in words is "two hundred one trillion, two hundred twenty-one billion, eleven million, two thousand, two hundred".