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12210101212100 = 225211191573721117
BaseRepresentation
bin1011000110101110001010…
…1111101101001111000100
31121020021101221120112022112
42301223202233231033010
53100022241402241400
641545124300120152
72400102455602331
oct261534257551704
947207357515275
1012210101212100
1139883028aa180
121452496236058
136a753b67562c
14302d8744b988
1516292d096835
hexb1ae2bed3c4

12210101212100 has 144 divisors (see below), whose sum is σ = 30619740419520. Its totient is φ = 4179557491200.

The previous prime is 12210101212093. The next prime is 12210101212121. The reversal of 12210101212100 is 121210101221.

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, 1420742 + ... + 5141858.

Almost surely, 212210101212100 is an apocalyptic number.

12210101212100 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 12210101212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309870209760).

12210101212100 is an abundant number, since it is smaller than the sum of its proper divisors (18409639207420).

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

12210101212100 is a wasteful number, since it uses less digits than its factorization.

12210101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3721318 (or 3721311 counting only the distinct ones).

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

Adding to 12210101212100 its reverse (121210101221), we get a palindrome (12331311313321).

The spelling of 12210101212100 in words is "twelve trillion, two hundred ten billion, one hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 157 190 209 220 275 314 380 418 475 550 628 785 836 950 1045 1100 1570 1727 1900 2090 2983 3140 3454 3925 4180 5225 5966 6908 7850 8635 10450 11932 14915 15700 17270 20900 29830 32813 34540 43175 59660 65626 74575 86350 131252 149150 164065 172700 298300 328130 656260 820325 1640650 3281300 3721117 7442234 14884468 18605585 37211170 40932287 70701223 74422340 81864574 93027925 141402446 163729148 186055850 204661435 282804892 353506115 372111700 409322870 584215369 707012230 777713453 818645740 1023307175 1168430738 1414024460 1555426906 1767530575 2046614350 2336861476 2921076845 3110853812 3535061150 3888567265 4093228700 5842153690 6426369059 7070122300 7777134530 11100092011 11684307380 12852738118 14605384225 15554269060 19442836325 22200184022 25705476236 29210768450 32131845295 38885672650 44400368044 55500460055 58421536900 64263690590 77771345300 111000920110 122101012121 128527381180 160659226475 222001840220 244202024242 277502300275 321318452950 488404048484 555004600550 610505060605 642636905900 1110009201100 1221010121210 2442020242420 3052525303025 6105050606050 12210101212100