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121222110210100 = 225217187937949507
BaseRepresentation
bin11011100100000000111000…
…110100010110100000110100
3120220012201110021202012020021
4123210000320310112200310
5111342100340203210400
61105452400232014524
734351002616444144
oct3344007064264064
9526181407665207
10121222110210100
113569700aa61409
12117197a7531444
135284271643523
1421d1277c26924
15e033ea48e71a
hex6e4038d16834

121222110210100 has 72 divisors (see below), whose sum is σ = 278673863106240. Its totient is φ = 45612270251520.

The previous prime is 121222110210059. The next prime is 121222110210127. The reversal of 121222110210100 is 1012011222121.

It is a super-2 number, since 2×1212221102101002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15780454 + ... + 22169053.

It is an arithmetic number, because the mean of its divisors is an integer number (3870470320920).

Almost surely, 2121222110210100 is an apocalyptic number.

121222110210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121222110210100 is an abundant number, since it is smaller than the sum of its proper divisors (157451752896140).

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

121222110210100 is a wasteful number, since it uses less digits than its factorization.

121222110210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37951417 (or 37951410 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121222110210100 its reverse (1012011222121), we get a palindrome (122234121432221).

The spelling of 121222110210100 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, one hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1879 3758 7516 9395 18790 31943 37580 46975 63886 93950 127772 159715 187900 319430 638860 798575 1597150 3194300 37949507 75899014 151798028 189747535 379495070 645141619 758990140 948737675 1290283238 1897475350 2580566476 3225708095 3794950700 6451416190 12902832380 16128540475 32257080950 64514161900 71307123653 142614247306 285228494612 356535618265 713071236530 1212221102101 1426142473060 1782678091325 2424442204202 3565356182650 4848884408404 6061105510505 7130712365300 12122211021010 24244422042020 30305527552525 60611055105050 121222110210100