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12210021210100 = 22527211729711329
BaseRepresentation
bin1011000110101101110111…
…1110100001011111110100
31121020021012101001000012111
42301223131332201133310
53100022110412210400
641545112321300404
72400100464600340
oct261533576413764
947207171030174
1012210021210100
11398827172751a
121452473494704
136a7527c1437c
14302d7a984620
151629260423ba
hexb1addfa17f4

12210021210100 has 144 divisors (see below), whose sum is σ = 30431219082880. Its totient is φ = 4165514035200.

The previous prime is 12210021210083. The next prime is 12210021210103. The reversal of 12210021210100 is 101212001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210021210103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077761236 + ... + 1077772564.

Almost surely, 212210021210100 is an apocalyptic number.

12210021210100 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 12210021210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215609541440).

12210021210100 is an abundant number, since it is smaller than the sum of its proper divisors (18221197872780).

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

12210021210100 is a wasteful number, since it uses less digits than its factorization.

12210021210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18858 (or 18851 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12210021210100 its reverse (101212001221), we get a palindrome (12311233211321).

The spelling of 12210021210100 in words is "twelve trillion, two hundred ten billion, twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 211 350 422 700 844 1055 1477 2110 2954 4220 5275 5908 7297 7385 10550 11329 14594 14770 21100 22658 29188 29540 36485 36925 45316 51079 56645 72970 73850 79303 102158 113290 145940 147700 158606 182425 204316 226580 255395 283225 317212 364850 396515 510790 566450 729700 793030 1021580 1132900 1276975 1539667 1586060 1982575 2390419 2553950 3079334 3965150 4780838 5107900 6158668 7698335 7930300 9561676 10777669 11952095 15396670 16732933 21555338 23904190 30793340 33465866 38491675 43110676 47808380 53888345 59760475 66931732 76983350 82667713 83664665 107776690 119520950 153966700 165335426 167329330 215553380 239041900 269441725 330670852 334658660 413338565 418323325 538883450 578673991 826677130 836646650 1077766900 1157347982 1653354260 1673293300 2066692825 2314695964 2893369955 4133385650 5786739910 8266771300 11573479820 14466849775 17442887443 28933699550 34885774886 57867399100 69771549772 87214437215 122100212101 174428874430 244200424202 348857748860 436072186075 488400848404 610501060505 872144372150 1221002121010 1744288744300 2442004242020 3052505302525 6105010605050 12210021210100