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100212221120120 = 235139167145174381
BaseRepresentation
bin10110110010010001111001…
…110101111000111001111000
3111010211012020222210102220122
4112302101321311320321320
5101113334112101320440
6553044505301512412
730052044154663124
oct2662217165707170
9433735228712818
10100212221120120
1129a2684532784a
12b2a5972112708
1343bbc8336a135
141aa6424030584
15b8bb3aae17b5
hex5b2479d78e78

100212221120120 has 128 divisors (see below), whose sum is σ = 228620039155200. Its totient is φ = 39530411328000.

The previous prime is 100212221120023. The next prime is 100212221120129. The reversal of 100212221120120 is 21021122212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212221120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347245330 + ... + 1347319710.

It is an arithmetic number, because the mean of its divisors is an integer number (1786094055900).

Almost surely, 2100212221120120 is an apocalyptic number.

100212221120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212221120120 is an abundant number, since it is smaller than the sum of its proper divisors (128407818035080).

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

100212221120120 is a wasteful number, since it uses less digits than its factorization.

100212221120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76149 (or 76145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100212221120120 its reverse (21021122212001), we get a palindrome (121233343332121).

The spelling of 100212221120120 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 139 167 278 334 556 668 695 835 1112 1336 1390 1451 1670 2780 2902 3340 5560 5804 6680 7255 11608 14510 23213 29020 46426 58040 74381 92852 116065 148762 185704 201689 232130 242317 297524 371905 403378 464260 484634 595048 743810 806756 928520 969268 1008445 1211585 1487620 1613512 1938536 2016890 2423170 2975240 4033780 4846340 8067560 9692680 10338959 12421627 20677918 24843254 33682063 41355836 49686508 51694795 62108135 67364126 82711672 99373016 103389590 107926831 124216270 134728252 168410315 206779180 215853662 248432540 269456504 336820630 413558360 431707324 496865080 539634155 673641260 863414648 1079268310 1347282520 1726606153 2158536620 3453212306 4317073240 6906424612 8633030765 13812849224 15001829509 17266061530 18023780777 30003659018 34532123060 36047561554 60007318036 69064246120 72095123108 75009147545 90118903885 120014636072 144190246216 150018295090 180237807770 300036590180 360475615540 600073180360 720951231080 2505305528003 5010611056006 10021222112012 12526527640015 20042444224024 25053055280030 50106110560060 100212221120120