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121222102100 = 2252115915711897
BaseRepresentation
bin111000011100101100…
…1100111110001010100
3102120220011202211102012
41300321121213301110
53441230324231400
6131404430203352
711520665603201
oct1607131476124
9376804684365
10121222102100
1147456797560
121b5b1053558
13b57b4499c8
145c1d78aca8
153247409d35
hex1c39667c54

121222102100 has 144 divisors (see below), whose sum is σ = 293713076160. Its totient is φ = 43054003200.

The previous prime is 121222102097. The next prime is 121222102109. The reversal of 121222102100 is 1201222121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222102109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10183352 + ... + 10195248.

It is an arithmetic number, because the mean of its divisors is an integer number (2039674140).

Almost surely, 2121222102100 is an apocalyptic number.

121222102100 is a gapful number since it is divisible by the number (10) 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 121222102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146856538080).

121222102100 is an abundant number, since it is smaller than the sum of its proper divisors (172490974060).

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

121222102100 is a wasteful number, since it uses less digits than its factorization.

121222102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12138 (or 12131 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121222102100 its reverse (1201222121), we get a palindrome (122423324221).

It can be divided in two parts, 121222 and 102100, that added together give a palindrome (223322).

The spelling of 121222102100 in words is "one hundred twenty-one billion, two hundred twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 157 220 236 275 295 314 550 590 628 649 785 1100 1180 1298 1475 1570 1727 2596 2950 3140 3245 3454 3925 5900 6490 6908 7850 8635 9263 11897 12980 15700 16225 17270 18526 23794 32450 34540 37052 43175 46315 47588 59485 64900 86350 92630 101893 118970 130867 172700 185260 203786 231575 237940 261734 297425 407572 463150 509465 523468 594850 654335 701923 926300 1018930 1189700 1308670 1403846 1867829 2037860 2547325 2617340 2807692 3271675 3509615 3735658 5094650 6543350 7019230 7471316 7721153 9339145 10189300 13086700 14038460 15442306 17548075 18678290 20546119 30884612 35096150 37356580 38605765 41092238 46695725 70192300 77211530 82184476 93391450 102730595 110201911 154423060 186782900 193028825 205461190 220403822 386057650 410922380 440807644 513652975 551009555 772115300 1027305950 1102019110 1212221021 2054611900 2204038220 2424442042 2755047775 4848884084 5510095550 6061105105 11020191100 12122210210 24244420420 30305525525 60611051050 121222102100