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100121212120 = 23519314249627
BaseRepresentation
bin101110100111110110…
…0000111010011011000
3100120102121201120000111
41131033230013103120
53120022012241440
6113554533014104
710143045155416
oct1351754072330
9316377646014
10100121212120
11395088a5606
12174a2484334
13959796c2a7
144bbb1b42b6
15290ebce4ea
hex174fb074d8

100121212120 has 64 divisors (see below), whose sum is σ = 244778572800. Its totient is φ = 36716768640.

The previous prime is 100121212111. The next prime is 100121212171. The reversal of 100121212120 is 21212121001.

It is a self number, because there is not a number n which added to its sum of digits gives 100121212120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2101254 + ... + 2148373.

It is an arithmetic number, because the mean of its divisors is an integer number (3824665200).

Almost surely, 2100121212120 is an apocalyptic number.

100121212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121212120 is an abundant number, since it is smaller than the sum of its proper divisors (144657360680).

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

100121212120 is a wasteful number, since it uses less digits than its factorization.

100121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4249688 (or 4249684 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100121212120 its reverse (21212121001), we get a palindrome (121333333121).

The spelling of 100121212120 in words is "one hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 23560 4249627 8499254 16998508 21248135 33997016 42496270 80742913 84992540 131738437 161485826 169985080 263476874 322971652 403714565 526953748 645943304 658692185 807429130 1053907496 1317384370 1614858260 2503030303 2634768740 3229716520 5006060606 5269537480 10012121212 12515151515 20024242424 25030303030 50060606060 100121212120