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20021110210101 = 371113531051119689
BaseRepresentation
bin1001000110101100001110…
…01010010111111000110101
32121212222222121001021212010
410203112013022113320311
510111011213203210401
6110325323203114433
74134322526604630
oct443260712277065
977788877037763
1020021110210101
1164199a5845370
1222b4285372a19
13b22ca09a5710
144d3053b7cc17
1524abdd302ed6
hex123587297e35

20021110210101 has 128 divisors (see below), whose sum is σ = 36553303019520. Its totient is φ = 9410349312000.

The previous prime is 20021110210081. The next prime is 20021110210111. The reversal of 20021110210101 is 10101201112002.

It is not a de Polignac number, because 20021110210101 - 27 = 20021110209973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021110210111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167216265 + ... + 167335953.

It is an arithmetic number, because the mean of its divisors is an integer number (285572679840).

Almost surely, 220021110210101 is an apocalyptic number.

20021110210101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20021110210101 is a deficient number, since it is larger than the sum of its proper divisors (16532192809419).

20021110210101 is a wasteful number, since it uses less digits than its factorization.

20021110210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120827.

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

Adding to 20021110210101 its reverse (10101201112002), we get a palindrome (30122311322103).

The spelling of 20021110210101 in words is "twenty trillion, twenty-one billion, one hundred ten million, two hundred ten thousand, one hundred one".

Divisors: 1 3 7 11 13 21 33 39 53 77 91 143 159 231 273 371 429 583 689 1001 1051 1113 1749 2067 3003 3153 4081 4823 7357 7579 11561 12243 13663 14469 22071 22737 34683 40989 53053 55703 80927 95641 119689 150293 159159 167109 242781 286923 359067 389921 450879 612733 724139 837823 1052051 1169763 1316579 1555957 1838199 2172417 2513469 3156153 3949737 4289131 4667871 5068973 6343517 7965529 9216053 10891699 12867393 15206919 17115527 19030551 23896587 27648159 32675097 44404619 51346581 55758703 69778687 82465721 119808689 125793139 133213857 167276109 209336061 247397163 359426067 377379417 488450809 577260047 880551973 907122931 1383724529 1465352427 1635310807 1731780141 2641655919 2721368793 4151173587 4905932421 6349860517 6667036367 9686071703 11447175649 17988418877 19049581551 20001109101 29058215109 34341526947 46669254569 53965256631 73337400037 86671472771 125918932139 140007763707 220012200111 260014418313 377756796417 513361800259 606700309397 953386200481 1540085400777 1820100928191 2860158601443 6673703403367 20021110210101