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21010202202100 = 22521922692163569
BaseRepresentation
bin1001100011011110100011…
…01000111000111111110100
32202101120000010010111101211
410301233101220320333310
510223212343230431400
6112403541553131204
74265636253041236
oct461572150707764
982346003114354
1021010202202100
116770416454411
122433b02259b04
13b9533b115447
14528c83620256
152667cc0ebdba
hex131bd1a38ff4

21010202202100 has 108 divisors (see below), whose sum is σ = 48296918760300. Its totient is φ = 7932159544320.

The previous prime is 21010202201993. The next prime is 21010202202139. The reversal of 21010202202100 is 120220201012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4502867024016 + 16507335178084 = 2121996^2 + 4062922^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8629116 + ... + 10792684.

It is an arithmetic number, because the mean of its divisors is an integer number (447193692225).

Almost surely, 221010202202100 is an apocalyptic number.

21010202202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010202202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24148459380150).

21010202202100 is an abundant number, since it is smaller than the sum of its proper divisors (27286716558200).

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

21010202202100 is a wasteful number, since it uses less digits than its factorization.

21010202202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163890 (or 2163864 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21010202202100 its reverse (120220201012), we get a palindrome (21130422403112).

The spelling of 21010202202100 in words is "twenty-one trillion, ten billion, two hundred two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 269 361 380 475 538 722 950 1076 1345 1444 1805 1900 2690 3610 5111 5380 6725 7220 9025 10222 13450 18050 20444 25555 26900 36100 51110 97109 102220 127775 194218 255550 388436 485545 511100 971090 1942180 2163569 2427725 4327138 4855450 8654276 9710900 10817845 21635690 41107811 43271380 54089225 82215622 108178450 164431244 205539055 216356900 411078110 582000061 781048409 822156220 1027695275 1164000122 1562096818 2055390550 2328000244 2910000305 3124193636 3905242045 4110781100 5820000610 7810484090 11058001159 11640001220 14550001525 15620968180 19526210225 22116002318 29100003050 39052420450 44232004636 55290005795 58200006100 78104840900 110580011590 210102022021 221160023180 276450028975 420204044042 552900057950 840408088084 1050510110105 1105800115900 2101020220210 4202040440420 5252550550525 10505101101050 21010202202100