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21212202012100 = 225211231018301257
BaseRepresentation
bin1001101001010110110011…
…10001000000110111000100
32210002212101211102001111021
410310223121301000313010
510240020042203341400
6113040430122120524
74316350066066141
oct464533161006704
983085354361437
1021212202012100
116839054042450
122467097650144
13bab3c0843338
1453496714b3c8
1526bba0de771a
hex134ad9c40dc4

21212202012100 has 144 divisors (see below), whose sum is σ = 52917132836736. Its totient is φ = 7305105280000.

The previous prime is 21212202012059. The next prime is 21212202012119. The reversal of 21212202012100 is 121020221212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595329 + ... + 6705928.

It is an arithmetic number, because the mean of its divisors is an integer number (367480089144).

Almost surely, 221212202012100 is an apocalyptic number.

21212202012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212202012100 is an abundant number, since it is smaller than the sum of its proper divisors (31704930824636).

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

21212202012100 is a wasteful number, since it uses less digits than its factorization.

21212202012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8301406 (or 8301399 counting only the distinct ones).

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

Adding to 21212202012100 its reverse (121020221212), we get a palindrome (21333222233312).

The spelling of 21212202012100 in words is "twenty-one trillion, two hundred twelve billion, two hundred two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 101 110 115 202 220 230 253 275 404 460 505 506 550 575 1010 1012 1100 1111 1150 1265 2020 2222 2300 2323 2525 2530 4444 4646 5050 5060 5555 6325 9292 10100 11110 11615 12650 22220 23230 25300 25553 27775 46460 51106 55550 58075 102212 111100 116150 127765 232300 255530 511060 638825 1277650 2555300 8301257 16602514 33205028 41506285 83012570 91313827 166025140 182627654 190928911 207531425 365255308 381857822 415062850 456569135 763715644 830125700 838426957 913138270 954644555 1676853914 1826276540 1909289110 2100218021 2282845675 3353707828 3818578220 4192134785 4200436042 4565691350 4773222775 8384269570 8400872084 9131382700 9222696527 9546445550 10501090105 16768539140 18445393054 19092891100 19283820011 20960673925 21002180210 36890786108 38567640022 41921347850 42004360420 46113482635 52505450525 77135280044 83842695700 92226965270 96419100055 105010901050 184453930540 192838200110 210021802100 212122020121 230567413175 385676400220 424244040242 461134826350 482095500275 848488080484 922269652700 964191000550 1060610100605 1928382001100 2121220201210 4242440402420 5303050503025 10606101006050 21212202012100