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121221002100110 = 251153547147125841
BaseRepresentation
bin11011100011111111110110…
…110001001111110110001110
3120220012121121001122101002112
4123203333312301033312032
5111342041103014200420
61105452054245224022
734350633302612603
oct3343776661176616
9526177531571075
10121221002100110
11356965a1507a30
1211719538402012
135284125bb3343
1421d11b09b66aa
15e033830558c5
hex6e3ff6c4fd8e

121221002100110 has 128 divisors (see below), whose sum is σ = 243143129161728. Its totient is φ = 43138577664000.

The previous prime is 121221002100101. The next prime is 121221002100131. The reversal of 121221002100110 is 11001200122121.

It is a super-3 number, since 3×1212210021001103 (a number of 43 digits) contains 333 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 (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4691020790 + ... + 4691046630.

It is an arithmetic number, because the mean of its divisors is an integer number (1899555696576).

Almost surely, 2121221002100110 is an apocalyptic number.

121221002100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121221002100110 is an abundant number, since it is smaller than the sum of its proper divisors (121922127061618).

121221002100110 is a wasteful number, since it uses less digits than its factorization.

121221002100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121221002100110 its reverse (11001200122121), we get a palindrome (132222202222231).

The spelling of 121221002100110 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 53 55 106 110 265 530 547 583 1094 1166 1471 2735 2915 2942 5470 5830 6017 7355 12034 14710 16181 25841 28991 30085 32362 51682 57982 60170 77963 80905 129205 144955 155926 161810 258410 284251 289910 318901 389815 568502 637802 779630 804637 857593 1369573 1421255 1594505 1609274 1715186 2739146 2842510 3189010 4023185 4287965 6847865 8046370 8575930 8851007 13695730 14135027 15065303 17702014 28270054 30130606 38012111 42645761 44255035 70675135 75326515 76024222 85291522 88510070 141350270 150653030 155485297 190060555 213228805 310970594 380121110 418133221 426457610 469103371 749156431 777426485 836266442 938206742 1498312862 1554852970 2014641883 2090666105 2345516855 3745782155 4029283766 4181332210 4691033710 7491564310 8240720741 10073209415 16481441482 20146418830 20792624717 22161060713 41203603705 41585249434 44322121426 82407207410 103963123585 110805303565 207926247170 221610607130 228718871887 457437743774 1102009110001 1143594359435 2204018220002 2287188718870 5510045550005 11020091100010 12122100210011 24244200420022 60610501050055 121221002100110