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21021010002102 = 231131101379268403
BaseRepresentation
bin1001100011110010101011…
…10101011000000010110110
32202102120220022220121210210
410301321111311120002312
510223402012030031402
6112412530233530250
74266501136604235
oct461712565300266
982376808817723
1021021010002102
116774a62147530
122436019873986
13b96371286b86
145295cab7cb1c
15266c10d7306c
hex131e55d580b6

21021010002102 has 128 divisors (see below), whose sum is σ = 47938586296320. Its totient is φ = 6087357360000.

The previous prime is 21021010002079. The next prime is 21021010002211. The reversal of 21021010002102 is 20120001012012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78184633 + ... + 78453035.

It is an arithmetic number, because the mean of its divisors is an integer number (374520205440).

Almost surely, 221021010002102 is an apocalyptic number.

21021010002102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021010002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23969293148160).

21021010002102 is an abundant number, since it is smaller than the sum of its proper divisors (26917576294218).

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

21021010002102 is a wasteful number, since it uses less digits than its factorization.

21021010002102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268930.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21021010002102 its reverse (20120001012012), we get a palindrome (41141011014114).

The spelling of 21021010002102 in words is "twenty-one trillion, twenty-one billion, ten million, two thousand, one hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 101 186 202 303 341 379 606 682 758 1023 1111 1137 2046 2222 2274 3131 3333 4169 6262 6666 8338 9393 11749 12507 18786 23498 25014 34441 35247 38279 68882 70494 76558 103323 114837 129239 206646 229674 258478 268403 387717 421069 536806 775434 805209 842138 1186649 1263207 1610418 2373298 2526414 2952433 3559947 5904866 7119894 8320493 8857299 13053139 16640986 17714598 24961479 26106278 27108703 39159417 49922958 54217406 78318834 81326109 91525423 101724737 162652218 183050846 203449474 274576269 298195733 305174211 549152538 596391466 610348422 840369793 894587199 1118972107 1680739586 1789174398 2237944214 2521109379 3153466847 3356916321 5042218758 6306933694 6713832642 9244067723 9460400541 10274198437 18488135446 18920801082 20548396874 27732203169 30822595311 34688135317 55464406338 61645190622 69376270634 104064405951 113016182807 208128811902 226032365614 318500151547 339048548421 637000303094 678097096842 955500454641 1911000909282 3503501667017 7007003334034 10510505001051 21021010002102