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1012200100100 = 22527359500173
BaseRepresentation
bin11101011101010111101…
…00111101000100000100
310120202122222001201120022
432232223310331010010
5113040441211200400
62052555344554312
7133062155615000
oct16565364750404
93522588051508
101012200100100
113602a9628752
12144207922998
13745b0a21097
1436dc2871700
151b4e2860b85
hexebabd3d104

1012200100100 has 144 divisors (see below), whose sum is σ = 2604906192000. Its totient is φ = 341157317760.

The previous prime is 1012200100049. The next prime is 1012200100157. The reversal of 1012200100100 is 10010022101.

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, 1773614 + ... + 2273786.

Almost surely, 21012200100100 is an apocalyptic number.

1012200100100 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 1012200100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302453096000).

1012200100100 is an abundant number, since it is smaller than the sum of its proper divisors (1592706091900).

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

1012200100100 is a wasteful number, since it uses less digits than its factorization.

1012200100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500267 (or 500246 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1012200100100 its reverse (10010022101), we get a palindrome (1022210122201).

The spelling of 1012200100100 in words is "one trillion, twelve billion, two hundred million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 59 70 98 100 118 140 175 196 236 245 295 343 350 413 490 590 686 700 826 980 1180 1225 1372 1475 1652 1715 2065 2450 2891 2950 3430 4130 4900 5782 5900 6860 8260 8575 10325 11564 14455 17150 20237 20650 28910 34300 40474 41300 57820 72275 80948 101185 144550 202370 289100 404740 500173 505925 1000346 1011850 2000692 2023700 2500865 3501211 5001730 7002422 10003460 12504325 14004844 17506055 24508477 25008650 29510207 35012110 49016954 50017300 59020414 70024220 87530275 98033908 118040828 122542385 147551035 171559339 175060550 206571449 245084770 295102070 343118678 350121100 413142898 490169540 590204140 612711925 686237356 737755175 826285796 857796695 1032857245 1225423850 1446000143 1475510350 1715593390 2065714490 2450847700 2892000286 2951020700 3431186780 4131428980 4288983475 5164286225 5784000572 7230000715 8577966950 10122001001 10328572450 14460001430 17155933900 20244002002 20657144900 28920002860 36150003575 40488004004 50610005005 72300007150 101220010010 144600014300 202440020020 253050025025 506100050050 1012200100100