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100122212221212 = 223672833041144701
BaseRepresentation
bin10110110000111110000100…
…111001001100000100011100
3111010111120221010011121210010
4112300332010321030010130
5101110400242312034322
6552535302002443220
730042406516654206
oct2660760471140434
9433446833147703
10100122212221212
11299a1656688895
12b290432363510
1343b363a75053c
141aa1d25c97776
15b8961daa820c
hex5b0f84e4c11c

100122212221212 has 96 divisors (see below), whose sum is σ = 238023056404224. Its totient is φ = 32748781824000.

The previous prime is 100122212221177. The next prime is 100122212221217. The reversal of 100122212221212 is 212122212221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122212221217) 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, 691852462 + ... + 691997162.

It is an arithmetic number, because the mean of its divisors is an integer number (2479406837544).

Almost surely, 2100122212221212 is an apocalyptic number.

100122212221212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122212221212 is an abundant number, since it is smaller than the sum of its proper divisors (137900844183012).

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

100122212221212 is a wasteful number, since it uses less digits than its factorization.

100122212221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148099 (or 148097 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100122212221212 its reverse (212122212221001), we get a palindrome (312244424442213).

The spelling of 100122212221212 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 67 134 201 268 283 402 566 804 849 1132 1698 3041 3396 6082 9123 12164 18246 18961 36492 37922 56883 75844 113766 144701 203747 227532 289402 407494 434103 578804 611241 814988 860603 868206 1222482 1721206 1736412 2444964 2581809 3442412 5163618 9694967 10327236 19389934 29084901 38779868 40950383 57660401 58169802 81900766 115320802 116339604 122851149 163801532 172981203 230641604 245702298 345962406 440035741 491404596 691924812 880071482 1320107223 1760142964 2640214446 2743675661 5280428892 5487351322 8231026983 10974702644 16462053966 29482394647 32924107932 58964789294 88447183941 117929578588 124530114703 176894367882 249060229406 353788735764 373590344109 498120458812 747180688218 1494361376436 8343517685101 16687035370202 25030553055303 33374070740404 50061106110606 100122212221212