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102021011212120 = 235711132547977303
BaseRepresentation
bin10111001100100110011110…
…001000100000011101011000
3111101020010001200110112202021
4113030212132020200131120
5101333003012332241440
61000551445554544224
730326526523043440
oct2714463610403530
9441203050415667
10102021011212120
112a563960168680
12b538432298074
1344c07037195c0
141b29bb3db3120
15bbdc021b184a
hex5cc99e220758

102021011212120 has 128 divisors (see below), whose sum is σ = 308203334691840. Its totient is φ = 29352698519040.

The previous prime is 102021011212093. The next prime is 102021011212129. The reversal of 102021011212120 is 21212110120201.

It is a junction number, because it is equal to n+sod(n) for n = 102021011212094 and 102021011212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021011212129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273948612 + ... + 1274028691.

It is an arithmetic number, because the mean of its divisors is an integer number (2407838552280).

Almost surely, 2102021011212120 is an apocalyptic number.

102021011212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102021011212120 is an abundant number, since it is smaller than the sum of its proper divisors (206182323479720).

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

102021011212120 is a wasteful number, since it uses less digits than its factorization.

102021011212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547977345 (or 2547977341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102021011212120 its reverse (21212110120201), we get a palindrome (123233121332321).

The spelling of 102021011212120 in words is "one hundred two trillion, twenty-one billion, eleven million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 2547977303 5095954606 10191909212 12739886515 17835841121 20383818424 25479773030 28027750333 33123704939 35671682242 50959546060 56055500666 66247409878 71343364484 89179205605 101919092120 112111001332 132494819756 140138751665 142686728968 165618524695 178358411210 196194252331 224222002664 231865934573 264989639512 280277503330 331237049390 356716822420 364360754329 392388504662 463731869146 560555006660 662474098780 713433644840 728721508658 784777009324 927463738292 980971261655 1121110013320 1159329672865 1324948197560 1457443017316 1569554018648 1821803771645 1854927476584 1961942523310 2318659345730 2550525280303 2914886034632 3643607543290 3923885046620 4637318691460 5101050560606 7287215086580 7847770093240 9274637382920 10202101121212 12752626401515 14574430173160 20404202242424 25505252803030 51010505606060 102021011212120