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102101110021200 = 24352270527314513
BaseRepresentation
bin10111001101110001000100…
…011001001101110001010000
3111101111202210220111122022210
4113031301010121031301100
5101340311033131134300
61001052334042232120
730335363454510243
oct2715610431156120
9441452726448283
10102101110021200
112a594923922454
12b54ba671b5640
1344c812a168b14
141b2da11d0d25a
15bc0d3e19c050
hex5cdc4464dc50

102101110021200 has 120 divisors (see below), whose sum is σ = 327066137998848. Its totient is φ = 27226775459840.

The previous prime is 102101110021177. The next prime is 102101110021231. The reversal of 102101110021200 is 2120011101201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1021011100212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 324475144 + ... + 324789656.

Almost surely, 2102101110021200 is an apocalyptic number.

102101110021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101110021200 is an abundant number, since it is smaller than the sum of its proper divisors (224965027977648).

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

102101110021200 is a wasteful number, since it uses less digits than its factorization.

102101110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585061 (or 585050 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102101110021200 its reverse (2120011101201), we get a palindrome (104221121122401).

The spelling of 102101110021200 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 270527 314513 541054 629026 811581 943539 1082108 1258052 1352635 1572565 1623162 1887078 2164216 2516104 2705270 3145130 3246324 3774156 4057905 4328432 4717695 5032208 5410540 6290260 6492648 6763175 7548312 7862825 8115810 9435390 10821080 12580520 12985296 13526350 15096624 15725650 16231620 18870780 20289525 21642160 23588475 25161040 27052700 31451300 32463240 37741560 40579050 47176950 54105400 62902600 64926480 75483120 81158100 94353900 108210800 125805200 162316200 188707800 324632400 377415600 85084258351 170168516702 255252775053 340337033404 425421291755 510505550106 680674066808 850842583510 1021011100212 1276263875265 1361348133616 1701685167020 2042022200424 2127106458775 2552527750530 3403370334040 4084044400848 4254212917550 5105055501060 6381319376325 6806740668080 8508425835100 10210111002120 12762638752650 17016851670200 20420222004240 25525277505300 34033703340400 51050555010600 102101110021200