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21212101122102 = 23211113539436433
BaseRepresentation
bin1001101001010110100111…
…10000001001100000110110
32210002212010210120022102200
410310223103300021200312
510240014340341401402
6113040412115445330
74316344432406202
oct464532360114066
983085123508380
1021212101122102
1168390020a3290
1224670698b6846
13bab3a597a707
145349579a7b02
1526bb9711921c
hex134ad3c09836

21212101122102 has 48 divisors (see below), whose sum is σ = 50142115125648. Its totient is φ = 6427342563840.

The previous prime is 21212101121987. The next prime is 21212101122109. The reversal of 21212101122102 is 20122110121212.

It is a super-3 number, since 3×212121011221023 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212101122109) 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, 2470323 + ... + 6966110.

It is an arithmetic number, because the mean of its divisors is an integer number (1044627398451).

Almost surely, 221212101122102 is an apocalyptic number.

21212101122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21212101122102 is an abundant number, since it is smaller than the sum of its proper divisors (28930014003546).

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

21212101122102 is a wasteful number, since it uses less digits than its factorization.

21212101122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447805 (or 9447802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21212101122102 its reverse (20122110121212), we get a palindrome (41334211243314).

The spelling of 21212101122102 in words is "twenty-one trillion, two hundred twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 11353 22706 34059 68118 102177 124883 204354 249766 374649 749298 1123947 2247894 9436433 18872866 28309299 56618598 84927897 103800763 169855794 207601526 311402289 622804578 934206867 1868413734 107131823849 214263647698 321395471547 642790943094 964186414641 1178450062339 1928372829282 2356900124678 3535350187017 7070700374034 10606050561051 21212101122102