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212101010100 = 223252733666827
BaseRepresentation
bin1100010110001000110…
…1001001001010110100
3202021110200110200122200
43011202031021022310
511433340324310400
6241234324424500
721216026560560
oct3054215111264
9667420420580
10212101010100
1181a515441a1
1235134248130
131700238c195
14a3a12b46a0
1557b59e8b00
hex31623492b4

212101010100 has 108 divisors (see below), whose sum is σ = 759792974304. Its totient is φ = 48480229440.

The previous prime is 212101010089. The next prime is 212101010111. The reversal of 212101010100 is 1010101212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212101010089) and next prime (212101010111).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 16827114 + ... + 16839713.

Almost surely, 2212101010100 is an apocalyptic number.

212101010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101010100 is an abundant number, since it is smaller than the sum of its proper divisors (547691964204).

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

212101010100 is a wasteful number, since it uses less digits than its factorization.

212101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666854 (or 33666844 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212101010100 its reverse (1010101212), we get a palindrome (213111111312).

The spelling of 212101010100 in words is "two hundred twelve billion, one hundred one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 33666827 67333654 101000481 134667308 168334135 202000962 235667789 303001443 336668270 404001924 471335578 505002405 606002886 673336540 707003367 841670675 942671156 1010004810 1178338945 1212005772 1414006734 1515007215 1683341350 2020009620 2121010101 2356677890 2525012025 2828013468 3030014430 3366682700 3535016835 4242020202 4713355780 5050024050 5891694725 6060028860 7070033670 7575036075 8484040404 10100048100 10605050505 11783389450 14140067340 15150072150 17675084175 21210101010 23566778900 30300144300 35350168350 42420202020 53025252525 70700336700 106050505050 212101010100