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101012010221200 = 24521367289931143
BaseRepresentation
bin10110111101111010110000…
…111111001011111010010000
3111020122122122200002101222011
4112331322300333023322100
5101214440044104034300
6554500135445552304
730163606531115401
oct2675726077137220
9436578580071864
10101012010221200
112a204a53435011
12b3b4979a15694
134449512714740
141ad30163779a8
15ba284a624eba
hex5bdeb0fcbe90

101012010221200 has 120 divisors (see below), whose sum is σ = 265249885573568. Its totient is φ = 36740074314240.

The previous prime is 101012010221173. The next prime is 101012010221237. The reversal of 101012010221200 is 2122010210101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144617172 + ... + 145313971.

Almost surely, 2101012010221200 is an apocalyptic number.

101012010221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012010221200 is an abundant number, since it is smaller than the sum of its proper divisors (164237875352368).

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

101012010221200 is a wasteful number, since it uses less digits than its factorization.

101012010221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289931241 (or 289931230 counting only the distinct ones).

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

Adding to 101012010221200 its reverse (2122010210101), we get a palindrome (103134020431301).

The spelling of 101012010221200 in words is "one hundred one trillion, twelve billion, ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 67 80 100 104 130 134 200 208 260 268 325 335 400 520 536 650 670 871 1040 1072 1300 1340 1675 1742 2600 2680 3350 3484 4355 5200 5360 6700 6968 8710 13400 13936 17420 21775 26800 34840 43550 69680 87100 174200 348400 289931143 579862286 1159724572 1449655715 2319449144 2899311430 3769104859 4638898288 5798622860 7248278575 7538209718 11597245720 14496557150 15076419436 18845524295 19425386581 23194491440 28993114300 30152838872 37691048590 38850773162 57986228600 60305677744 75382097180 77701546324 94227621475 97126932905 115972457200 150764194360 155403092648 188455242950 194253865810 252530025553 301528388720 310806185296 376910485900 388507731620 485634664525 505060051106 753820971800 777015463240 971269329050 1010120102212 1262650127765 1507641943600 1554030926480 1942538658100 2020240204424 2525300255530 3885077316200 4040480408848 5050600511060 6313250638825 7770154632400 10101201022120 12626501277650 20202402044240 25253002555300 50506005110600 101012010221200