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101021221200200 = 23527130343553601
BaseRepresentation
bin10110111110000011010110…
…000000010010000101001000
3111020200112102121011121202112
4112332003112000102011020
5101220112430111401300
6554504301445121452
730164354015131520
oct2676032600220510
9436615377147675
10101021221200200
112a20894a827954
12b3b670a6b9288
13444a34cac4382
141ad364b7cc680
15ba2bd90c8e35
hex5be0d6012148

101021221200200 has 96 divisors (see below), whose sum is σ = 268430360607360. Its totient is φ = 34635518976000.

The previous prime is 101021221200191. The next prime is 101021221200247. The reversal of 101021221200200 is 2002122120101.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 182203400 + ... + 182757000.

It is an arithmetic number, because the mean of its divisors is an integer number (2796149589660).

Almost surely, 2101021221200200 is an apocalyptic number.

101021221200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021221200200 is an abundant number, since it is smaller than the sum of its proper divisors (167409139407160).

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

101021221200200 is a wasteful number, since it uses less digits than its factorization.

101021221200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683967 (or 683958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101021221200200 its reverse (2002122120101), we get a palindrome (103023343320301).

The spelling of 101021221200200 in words is "one hundred one trillion, twenty-one billion, two hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 130343 260686 521372 553601 651715 912401 1042744 1107202 1303430 1824802 2214404 2606860 2768005 3258575 3649604 3875207 4428808 4562005 5213720 5536010 6517150 7299208 7750414 9124010 11072020 13034300 13840025 15500828 18248020 19376035 22144040 22810025 26068600 27680050 31001656 36496040 38752070 45620050 55360100 77504140 91240100 96880175 110720200 155008280 182480200 193760350 387520700 775041400 72158015143 144316030286 288632060572 360790075715 505106106001 577264121144 721580151430 1010212212002 1443160302860 1803950378575 2020424424004 2525530530005 2886320605720 3607900757150 4040848848008 5051061060010 7215801514300 10102122120020 12627652650025 14431603028600 20204244240040 25255305300050 50510610600100 101021221200200