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100021010120010 = 23257226386237647
BaseRepresentation
bin10110101111011111110100…
…110001110011110101001010
3111010010220201011120012200200
4112233133310301303311022
5101102221012042320020
6552421003454313030
730032164605206400
oct2657376461636512
9433126634505620
10100021010120010
1129962743741321
12b2748a9ab8776
1343a6c2cb92115
141a9b08531b470
15b86b9906a590
hex5af7f4c73d4a

100021010120010 has 144 divisors (see below), whose sum is σ = 303662765742336. Its totient is φ = 22775017358016.

The previous prime is 100021010119967. The next prime is 100021010120029. The reversal of 100021010120010 is 10021010120001.

Adding to 100021010120010 its reverse (10021010120001), we get a palindrome (110042020240011).

Subtracting from 100021010120010 its reverse (10021010120001), we obtain a palindrome (90000000000009).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100021010119974 and 100021010120001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41958994 + ... + 44278653.

It is an arithmetic number, because the mean of its divisors is an integer number (2108769206544).

Almost surely, 2100021010120010 is an apocalyptic number.

100021010120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100021010120010 is an abundant number, since it is smaller than the sum of its proper divisors (203641755622326).

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

100021010120010 is a wasteful number, since it uses less digits than its factorization.

100021010120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86237937 (or 86237927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The spelling of 100021010120010 in words is "one hundred trillion, twenty-one billion, ten million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 263 294 315 441 490 526 630 735 789 882 1315 1470 1578 1841 2205 2367 2630 3682 3945 4410 4734 5523 7890 9205 11046 11835 12887 16569 18410 23670 25774 27615 33138 38661 55230 64435 77322 82845 115983 128870 165690 193305 231966 386610 579915 1159830 86237647 172475294 258712941 431188235 517425882 603663529 776138823 862376470 1207327058 1293564705 1552277646 1810990587 2587129410 3018317645 3621981174 3880694115 4225644703 5432971761 6036635290 7761388230 8451289406 9054952935 10865943522 12676934109 18109905870 21128223515 22680501161 25353868218 27164858805 38030802327 42256447030 45361002322 54329717610 63384670545 68041503483 76061604654 113402505805 126769341090 136083006966 158763508127 190154011635 204124510449 226805011610 317527016254 340207517415 380308023270 408249020898 476290524381 680415034830 793817540635 952581048762 1020622552245 1111344556889 1428871573143 1587635081270 2041245104490 2222689113778 2381452621905 2857743146286 3334033670667 4762905243810 5556722784445 6668067341334 7144357865715 10002101012001 11113445568890 14288715731430 16670168353335 20004202024002 33340336706670 50010505060005 100021010120010