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1222101012100 = 22521917318112053
BaseRepresentation
bin10001110010001010111…
…001011000111010000100
311022211110022122212000011
4101302022321120322010
5130010330324341400
62333231522000004
7154202542130443
oct21621271307204
94284408585004
101222101012100
11431321185651
12178a271a6004
138b322346067
1443215880d5a
1521bca11d8ba
hex11c8ae58e84

1222101012100 has 144 divisors (see below), whose sum is σ = 2810590735680. Its totient is φ = 459956620800.

The previous prime is 1222101012017. The next prime is 1222101012103. The reversal of 1222101012100 is 12101012221.

It is not an unprimeable number, because it can be changed into a prime (1222101012103) 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, 595274674 + ... + 595276726.

It is an arithmetic number, because the mean of its divisors is an integer number (19517991220).

Almost surely, 21222101012100 is an apocalyptic number.

1222101012100 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 1222101012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405295367840).

1222101012100 is an abundant number, since it is smaller than the sum of its proper divisors (1588489723580).

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

1222101012100 is a wasteful number, since it uses less digits than its factorization.

1222101012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070 (or 4063 counting only the distinct ones).

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

Adding to 1222101012100 its reverse (12101012221), we get a palindrome (1234202024321).

The spelling of 1222101012100 in words is "one trillion, two hundred twenty-two billion, one hundred one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 173 190 346 380 475 692 865 950 1730 1811 1900 2053 3287 3460 3622 4106 4325 6574 7244 8212 8650 9055 10265 13148 16435 17300 18110 20530 32870 34409 36220 39007 41060 45275 51325 65740 68818 78014 82175 90550 102650 137636 156028 164350 172045 181100 195035 205300 313303 328700 344090 355169 390070 626606 688180 710338 780140 860225 975175 1253212 1420676 1566515 1720450 1775845 1950350 3133030 3440900 3551690 3717983 3900700 5952757 6266060 6748211 7103380 7435966 7832575 8879225 11905514 13496422 14871932 15665150 17758450 18589915 23811028 26992844 29763785 31330300 33741055 35516900 37179830 59527570 67482110 70641677 74359660 92949575 119055140 134964220 141283354 148818925 168705275 185899150 282566708 297637850 337410550 353208385 371798300 595275700 643211059 674821100 706416770 1286422118 1412833540 1766041925 2572844236 3216055295 3532083850 6432110590 7064167700 12221010121 12864221180 16080276475 24442020242 32160552950 48884040484 61105050605 64321105900 122210101210 244420202420 305525253025 611050506050 1222101012100