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100121212212 = 223743103269117
BaseRepresentation
bin101110100111110110…
…0000111010100110100
3100120102121201120010220
41131033230013110310
53120022012242322
6113554533014340
710143045155610
oct1351754072464
9316377646126
10100121212212
11395088a568a
12174a24843b0
13959796c348
144bbb1b4340
15290ebce55c
hex174fb07534

100121212212 has 96 divisors (see below), whose sum is σ = 275852408832. Its totient is φ = 27669430656.

The previous prime is 100121212211. The next prime is 100121212223. The reversal of 100121212212 is 212212121001.

It is a junction number, because it is equal to n+sod(n) for n = 100121212191 and 100121212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121212211) 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, 237478 + ... + 506594.

It is an arithmetic number, because the mean of its divisors is an integer number (2873462592).

Almost surely, 2100121212212 is an apocalyptic number.

100121212212 is a gapful number since it is divisible by the number (12) 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 100121212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137926204416).

100121212212 is an abundant number, since it is smaller than the sum of its proper divisors (175731196620).

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

100121212212 is a wasteful number, since it uses less digits than its factorization.

100121212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269277 (or 269275 counting only the distinct ones).

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

Adding to 100121212212 its reverse (212212121001), we get a palindrome (312333333213).

The spelling of 100121212212 in words is "one hundred billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 103 129 172 206 258 301 309 412 516 602 618 721 903 1204 1236 1442 1806 2163 2884 3612 4326 4429 8652 8858 13287 17716 26574 31003 53148 62006 93009 124012 186018 269117 372036 538234 807351 1076468 1614702 1883819 3229404 3767638 5651457 7535276 11302914 11572031 22605828 23144062 27719051 34716093 46288124 55438102 69432186 81004217 83157153 110876204 138864372 162008434 166314306 194033357 243012651 324016868 332628612 388066714 486025302 582100071 776133428 972050604 1164200142 1191919193 2328400284 2383838386 3575757579 4767676772 7151515158 8343434351 14303030316 16686868702 25030303053 33373737404 50060606106 100121212212