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100121020000 = 255412134127
BaseRepresentation
bin101110100111110101…
…1011000011001100000
3100120102121100210110221
41131033223120121200
53120021440120000
6113554524532424
710143043425331
oct1351753303140
9316377323427
10100121020000
1139508784231
12174a23b1114
139597902a01
144bbb164288
15290eb9261a
hex174fad8660

100121020000 has 120 divisors (see below), whose sum is σ = 246575520576. Its totient is φ = 40005696000.

The previous prime is 100121019991. The next prime is 100121020003. The reversal of 100121020000 is 20121001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24257937 + ... + 24262063.

Almost surely, 2100121020000 is an apocalyptic number.

100121020000 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 100121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123287760288).

100121020000 is an abundant number, since it is smaller than the sum of its proper divisors (146454500576).

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

100121020000 is an equidigital number, since it uses as much as digits as its factorization.

100121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100121020000 its reverse (20121001), we get a palindrome (100141141001).

The spelling of 100121020000 in words is "one hundred billion, one hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1213 1250 2000 2426 2500 4000 4127 4852 5000 6065 8254 9704 10000 12130 16508 19408 20000 20635 24260 30325 33016 38816 41270 48520 60650 66032 82540 97040 103175 121300 132064 151625 165080 194080 206350 242600 303250 330160 412700 485200 515875 606500 660320 758125 825400 970400 1031750 1213000 1516250 1650800 2063500 2426000 2579375 3032500 3301600 4127000 4852000 5006051 5158750 6065000 8254000 10012102 10317500 12130000 16508000 20024204 20635000 24260000 25030255 40048408 41270000 50060510 80096816 82540000 100121020 125151275 160193632 200242040 250302550 400484080 500605100 625756375 800968160 1001210200 1251512750 2002420400 2503025500 3128781875 4004840800 5006051000 6257563750 10012102000 12515127500 20024204000 25030255000 50060510000 100121020000