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212101200210200 = 235274311059318589
BaseRepresentation
bin110000001110011110101000…
…101100011110100100011000
31000210222200021022202111111012
4300032132220230132210120
5210300031224223211300
62031033540215153052
762450543316040610
oct6016365054364430
91023880238674435
10212101200210200
1161644683062a04
121b956772975788
139147099027242
143a53a77c09a40
15197c38b777435
hexc0e7a8b1e918

212101200210200 has 192 divisors, whose sum is σ = 576743731872000. Its totient is φ = 71022593456640.

The previous prime is 212101200210181. The next prime is 212101200210269. The reversal of 212101200210200 is 2012002101212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665592506 + ... + 665911094.

It is an arithmetic number, because the mean of its divisors is an integer number (3003873603500).

Almost surely, 2212101200210200 is an apocalyptic number.

212101200210200 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 212101200210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288371865936000).

212101200210200 is an abundant number, since it is smaller than the sum of its proper divisors (364642531661800).

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

212101200210200 is a wasteful number, since it uses less digits than its factorization.

212101200210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329714 (or 329705 counting only the distinct ones).

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

Adding to 212101200210200 its reverse (2012002101212), we get a palindrome (214113202311412).

The spelling of 212101200210200 in words is "two hundred twelve trillion, one hundred one billion, two hundred million, two hundred ten thousand, two hundred".