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101002122201200 = 245211131031751891
BaseRepresentation
bin10110111101110001100011…
…100111011000100001110000
3111020121201010120000221112012
4112331301203213120201300
5101214304321240414300
6554451422343222052
730163106513252633
oct2675614347304160
9436551116027465
10101002122201200
112a200839954260
12b3b2a7a447928
1344485c7ca392c
141ad2759043c1a
15ba246c4d6435
hex5bdc639d8870

101002122201200 has 120 divisors (see below), whose sum is σ = 264737734200576. Its totient is φ = 36725220448000.

The previous prime is 101002122201199. The next prime is 101002122201229. The reversal of 101002122201200 is 2102221200101.

It is a super-2 number, since 2×1010021222012002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 56777255 + ... + 58529145.

Almost surely, 2101002122201200 is an apocalyptic number.

101002122201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002122201200 is an abundant number, since it is smaller than the sum of its proper divisors (163735611999376).

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

101002122201200 is a wasteful number, since it uses less digits than its factorization.

101002122201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765023 (or 1765012 counting only the distinct ones).

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

Adding to 101002122201200 its reverse (2102221200101), we get a palindrome (103104343401301).

The spelling of 101002122201200 in words is "one hundred one trillion, two billion, one hundred twenty-two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 13103 26206 52412 65515 104824 131030 144133 209648 262060 288266 327575 524120 576532 655150 720665 1048240 1153064 1310300 1441330 1751891 2306128 2620600 2882660 3503782 3603325 5241200 5765320 7007564 7206650 8759455 11530640 14015128 14413300 17518910 19270801 28030256 28826600 35037820 38541602 43797275 57653200 70075640 77083204 87594550 96354005 140151280 154166408 175189100 192708010 308332816 350378200 385416020 481770025 700756400 770832040 963540050 1541664080 1927080100 3854160200 7708320400 22955027773 45910055546 91820111092 114775138865 183640222184 229550277730 252505305503 367280444368 459100555460 505010611006 573875694325 918201110920 1010021222012 1147751388650 1262526527515 1836402221840 2020042444024 2295502777300 2525053055030 4040084888048 4591005554600 5050106110060 6312632637575 9182011109200 10100212220120 12625265275150 20200424440240 25250530550300 50501061100600 101002122201200