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12101121002100 = 22352136746311217
BaseRepresentation
bin1011000000011000001100…
…0001001100101001110100
31120211212002221002020211110
42300012003001030221310
53041231043434031400
641423102300035020
72356164026235504
oct260060301145164
946755087066743
1012101121002100
11394606936a419
121435340b32a70
1369a191524580
142db9a9887a04
1515eba078de50
hexb018304ca74

12101121002100 has 144 divisors (see below), whose sum is σ = 38268626637248. Its totient is φ = 2934278645760.

The previous prime is 12101121002059. The next prime is 12101121002137. The reversal of 12101121002100 is 120012110121.

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, 22894309 + ... + 23416908.

Almost surely, 212101121002100 is an apocalyptic number.

12101121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101121002100 is an abundant number, since it is smaller than the sum of its proper divisors (26167505635148).

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

12101121002100 is a wasteful number, since it uses less digits than its factorization.

12101121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46311314 (or 46311307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101121002100 its reverse (120012110121), we get a palindrome (12221133112221).

The spelling of 12101121002100 in words is "twelve trillion, one hundred one billion, one hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 67 75 78 100 130 134 150 156 195 201 260 268 300 325 335 390 402 650 670 780 804 871 975 1005 1300 1340 1675 1742 1950 2010 2613 3350 3484 3900 4020 4355 5025 5226 6700 8710 10050 10452 13065 17420 20100 21775 26130 43550 52260 65325 87100 130650 261300 46311217 92622434 138933651 185244868 231556085 277867302 463112170 555734604 602045821 694668255 926224340 1157780425 1204091642 1389336510 1806137463 2315560850 2408183284 2778673020 3010229105 3102851539 3473341275 3612274926 4631121700 6020458210 6205703078 6946682550 7224549852 9030687315 9308554617 12040916420 12411406156 13893365100 15051145525 15514257695 18061374630 18617109234 30102291050 31028515390 36122749260 37234218468 40337070007 45153436575 46542773085 60204582100 62057030780 77571288475 80674140014 90306873150 93085546170 121011210021 155142576950 161348280028 180613746300 186171092340 201685350035 232713865425 242022420042 310285153900 403370700070 465427730850 484044840084 605056050105 806741400140 930855461700 1008426750175 1210112100210 2016853500350 2420224200420 3025280250525 4033707000700 6050560501050 12101121002100