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100201102221210 = 235227103914161519
BaseRepresentation
bin10110110010000111100011…
…000110101001111110011010
3111010210010120002121212000220
4112302013203012221332122
5101113143324132034320
6553035430105140510
730051201502623204
oct2662074306517632
9433703502555026
10100201102221210
1129a22059a6a4a1
12b2a378a48a736
1343bac00912b03
141aa5a8b44d774
15b8b6d98b7e40
hex5b21e31a9f9a

100201102221210 has 64 divisors (see below), whose sum is σ = 241774532812800. Its totient is φ = 26576977476672.

The previous prime is 100201102221169. The next prime is 100201102221223. The reversal of 100201102221210 is 12122201102001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100201102221210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5170 + ... + 14156349.

It is an arithmetic number, because the mean of its divisors is an integer number (3777727075200).

Almost surely, 2100201102221210 is an apocalyptic number.

100201102221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201102221210 is an abundant number, since it is smaller than the sum of its proper divisors (141573430591590).

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

100201102221210 is a wasteful number, since it uses less digits than its factorization.

100201102221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14162795.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100201102221210 its reverse (12122201102001), we get a palindrome (112323303323211).

The spelling of 100201102221210 in words is "one hundred trillion, two hundred one billion, one hundred two million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 227 454 681 1039 1135 1362 2078 2270 3117 3405 5195 6234 6810 10390 15585 31170 235853 471706 707559 1179265 1415118 2358530 3537795 7075590 14161519 28323038 42484557 70807595 84969114 141615190 212422785 424845570 3214664813 6429329626 9643994439 14713818241 16073324065 19287988878 29427636482 32146648130 44141454723 48219972195 73569091205 88282909446 96439944390 147138182410 220707273615 441414547230 3340036740707 6680073481414 10020110222121 16700183703535 20040220444242 33400367407070 50100551110605 100201102221210