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121201111010100 = 2235211101363639697
BaseRepresentation
bin11011100011101101010101…
…001010110000101100110100
3120220010201020211001022021010
4123203231111022300230310
5111341224333404310400
61105435004410152220
734346330342260542
oct3343552512605464
9526121224038233
10121201111010100
1135689114505670
1211715706a22670
1352822a5c4b8b4
1421d0244d60d92
15e02abbb4e450
hex6e3b552b0b34

121201111010100 has 144 divisors (see below), whose sum is σ = 386342451625536. Its totient is φ = 29091175680000.

The previous prime is 121201111010093. The next prime is 121201111010113. The reversal of 121201111010100 is 1010111102121.

121201111010100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181486549 + ... + 182153148.

It is an arithmetic number, because the mean of its divisors is an integer number (2682933691844).

Almost surely, 2121201111010100 is an apocalyptic number.

121201111010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121201111010100 is an abundant number, since it is smaller than the sum of its proper divisors (265141340615436).

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

121201111010100 is a wasteful number, since it uses less digits than its factorization.

121201111010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363639826 (or 363639819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 121201111010100 its reverse (1010111102121), we get a palindrome (122211222112221).

The spelling of 121201111010100 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred eleven million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 363639697 727279394 1090919091 1454558788 1818198485 2181838182 3636396970 4000036667 4363676364 5454595455 7272793940 8000073334 9090992425 10909190910 12000110001 16000146668 18181984850 20000183335 21818381820 24000220002 27272977275 36363969700 36727609397 40000366670 48000440004 54545954550 60000550005 73455218794 80000733340 100000916675 109091909100 110182828191 120001100010 146910437588 183638046985 200001833350 220365656382 240002200020 300002750025 367276093970 400003666700 404003703367 440731312764 550914140955 600005500050 734552187940 808007406734 918190234925 1101828281910 1200011000100 1212011110101 1616014813468 1836380469850 2020018516835 2203656563820 2424022220202 2754570704775 3672760939700 4040037033670 4848044440404 5509141409550 6060055550505 8080074067340 10100092584175 11018282819100 12120111101010 20200185168350 24240222202020 30300277752525 40400370336700 60600555505050 121201111010100