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21021222102100 = 225211117011633211
BaseRepresentation
bin1001100011110011000100…
…11110011110010001010100
32202102121110010000102022021
410301321202132132101110
510223402430324231400
6112413003251542524
74266506323455463
oct461714236362124
982377403012267
1021021222102100
116775060944390
1224360788baa44
13b963a61b982c
1452960add09da
15266c247bc71a
hex131e6279e454

21021222102100 has 72 divisors (see below), whose sum is σ = 49767249129696. Its totient is φ = 7643422800000.

The previous prime is 21021222102091. The next prime is 21021222102107. The reversal of 21021222102100 is 120122212012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021222102107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12054495 + ... + 13687705.

It is an arithmetic number, because the mean of its divisors is an integer number (691211793468).

Almost surely, 221021222102100 is an apocalyptic number.

21021222102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021222102100 is an abundant number, since it is smaller than the sum of its proper divisors (28746027027596).

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

21021222102100 is a wasteful number, since it uses less digits than its factorization.

21021222102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644937 (or 1644930 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21021222102100 its reverse (120122212012), we get a palindrome (21141344314112).

The spelling of 21021222102100 in words is "twenty-one trillion, twenty-one billion, two hundred twenty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 11701 23402 46804 58505 117010 128711 234020 257422 292525 514844 585050 643555 1170100 1287110 1633211 2574220 3217775 3266422 6435550 6532844 8166055 12871100 16332110 17965321 32664220 35930642 40830275 71861284 81660550 89826605 163321100 179653210 359306420 449133025 898266050 1796532100 19110201911 38220403822 76440807644 95551009555 191102019110 210212221021 382204038220 420424442042 477755047775 840848884084 955510095550 1051061105105 1911020191100 2102122210210 4204244420420 5255305525525 10510611051050 21021222102100