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100021200221100 = 223522343487333337
BaseRepresentation
bin10110101111100000000000…
…000110111111001110101100
3111010010221012102021100100210
4112233200000012333032230
5101102221404224033400
6552421034405022420
730032202404065104
oct2657400006771654
9433127172240323
10100021200221100
1129962830a83064
12b2749416b4a10
1343a6c60391882
141a9b0a2684204
15b86baaabb950
hex5af8001bf3ac

100021200221100 has 144 divisors (see below), whose sum is σ = 301984899729408. Its totient is φ = 25511990760960.

The previous prime is 100021200221099. The next prime is 100021200221113. The reversal of 100021200221100 is 1122002120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 299893632 + ... + 300226968.

It is an arithmetic number, because the mean of its divisors is an integer number (2097117359232).

Almost surely, 2100021200221100 is an apocalyptic number.

100021200221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021200221100 is an abundant number, since it is smaller than the sum of its proper divisors (201963699508308).

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

100021200221100 is a wasteful number, since it uses less digits than its factorization.

100021200221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376864 (or 376857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100021200221100 its reverse (1122002120001), we get a palindrome (101143202341101).

The spelling of 100021200221100 in words is "one hundred trillion, twenty-one billion, two hundred million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 43487 86974 130461 173948 217435 260922 333337 434870 521844 652305 666674 869740 1000011 1000201 1087175 1304610 1333348 1666685 2000022 2000402 2174350 2609220 3000603 3261525 3333370 4000044 4000804 4348700 5000055 5001005 6001206 6523050 6666740 7666751 8333425 10000110 10002010 12002412 13046100 15003015 15333502 16666850 20000220 20004020 23000253 25000275 25005025 30006030 30667004 33333700 38333755 46000506 50000550 50010050 60012060 75015075 76667510 92001012 100001100 100020100 115001265 150030150 153335020 191668775 230002530 300060300 383337550 460005060 575006325 766675100 1150012650 2300025300 14495826119 28991652238 43487478357 57983304476 72479130595 86974956714 144958261190 173949913428 217437391785 289916522380 333404000737 362395652975 434874783570 666808001474 724791305950 869749567140 1000212002211 1087186958925 1333616002948 1449582611900 1667020003685 2000424004422 2174373917850 3334040007370 4000848008844 4348747835700 5001060011055 6668080014740 8335100018425 10002120022110 16670200036850 20004240044220 25005300055275 33340400073700 50010600110550 100021200221100