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12211010102100 = 2235223276943983
BaseRepresentation
bin1011000110110001100011…
…1010110110001101010100
31121020100202021210221000010
42301230120322312031110
53100031122041231400
641545354404520220
72400134133205365
oct261543072661524
947210667727003
1012211010102100
113988729953737
1214526aa6b0070
136a7654a62574
1430303203db6c
15162982c7c450
hexb1b18eb6354

12211010102100 has 108 divisors (see below), whose sum is σ = 36933420095936. Its totient is φ = 3114692391360.

The previous prime is 12211010102099. The next prime is 12211010102141. The reversal of 12211010102100 is 120101011221.

12211010102100 is digitally balanced in base 2, 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 35 ways as a sum of consecutive naturals, for example, 38313292 + ... + 38630691.

Almost surely, 212211010102100 is an apocalyptic number.

12211010102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211010102100 is an abundant number, since it is smaller than the sum of its proper divisors (24722409993836).

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

12211010102100 is a wasteful number, since it uses less digits than its factorization.

12211010102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76944046 (or 76944016 counting only the distinct ones).

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

Adding to 12211010102100 its reverse (120101011221), we get a palindrome (12331111113321).

The spelling of 12211010102100 in words is "twelve trillion, two hundred eleven billion, ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 529 575 690 1058 1150 1380 1587 1725 2116 2300 2645 3174 3450 5290 6348 6900 7935 10580 13225 15870 26450 31740 39675 52900 79350 158700 76943983 153887966 230831949 307775932 384719915 461663898 769439830 923327796 1154159745 1538879660 1769711609 1923599575 2308319490 3539423218 3847199150 4616638980 5309134827 5770798725 7078846436 7694398300 8848558045 10618269654 11541597450 17697116090 21236539308 23083194900 26545674135 35394232180 40703367007 44242790225 53091348270 81406734014 88485580450 106182696540 122110101021 132728370675 162813468028 176971160900 203516835035 244220202042 265456741350 407033670070 488440404084 530913482700 610550505105 814067340140 1017584175175 1221101010210 2035168350350 2442202020420 3052752525525 4070336700700 6105505051050 12211010102100