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21210112120100 = 22527910126582419
BaseRepresentation
bin1001101001010010111010…
…01100101101010100100100
32210002200000011220112121212
410310221131030231110210
510240001302200320400
6113035442504330552
74316244231231431
oct464513514552444
983080004815555
1021210112120100
116838181388682
1224667b3773a58
13bab149884257
14534809772b88
1526bacc6ca335
hex134a5d32d524

21210112120100 has 72 divisors (see below), whose sum is σ = 47070022742400. Its totient is φ = 8293714416000.

The previous prime is 21210112120069. The next prime is 21210112120117. The reversal of 21210112120100 is 102121101212.

It is a super-2 number, since 2×212101121201002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12493310 + ... + 14089109.

Almost surely, 221210112120100 is an apocalyptic number.

21210112120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210112120100 is an abundant number, since it is smaller than the sum of its proper divisors (25859910622300).

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

21210112120100 is a wasteful number, since it uses less digits than its factorization.

21210112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26582613 (or 26582606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21210112120100 its reverse (102121101212), we get a palindrome (21312233221312).

The spelling of 21210112120100 in words is "twenty-one trillion, two hundred ten billion, one hundred twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 101 158 202 316 395 404 505 790 1010 1580 1975 2020 2525 3950 5050 7900 7979 10100 15958 31916 39895 79790 159580 199475 398950 797900 26582419 53164838 106329676 132912095 265824190 531648380 664560475 1329120950 2100011101 2658241900 2684824319 4200022202 5369648638 8400044404 10500055505 10739297276 13424121595 21000111010 26848243190 42000222020 52500277525 53696486380 67120607975 105000555050 134241215950 210001110100 212101121201 268482431900 424202242402 848404484804 1060505606005 2121011212010 4242022424020 5302528030025 10605056060050 21210112120100