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21012120112221 = 3375317211218853
BaseRepresentation
bin1001100011100010000111…
…11101001000110001011101
32202101201221210000102111000
410301301003331020301131
510223230310222042341
6112404500144420513
74266034632024030
oct461610375106135
982351853012430
1021012120112221
1167712100226a7
122434358617739
13b9558557a0c4
14528dc622b017
152668906968b6
hex131c43f48c5d

21012120112221 has 64 divisors (see below), whose sum is σ = 36268414640640. Its totient is φ = 11773525271040.

The previous prime is 21012120112219. The next prime is 21012120112223. The reversal of 21012120112221 is 12221102121012.

21012120112221 is a `hidden beast` number, since 210 + 1 + 2 + 120 + 112 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (21012120112219) and next prime (21012120112223).

It is not a de Polignac number, because 21012120112221 - 21 = 21012120112219 is a prime.

It is a super-2 number, since 2×210121201122212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21012120112194 and 21012120112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012120112223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16629831 + ... + 17848683.

It is an arithmetic number, because the mean of its divisors is an integer number (566693978760).

Almost surely, 221012120112221 is an apocalyptic number.

21012120112221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21012120112221 is a deficient number, since it is larger than the sum of its proper divisors (15256294528419).

21012120112221 is a wasteful number, since it uses less digits than its factorization.

21012120112221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220643 (or 1220637 counting only the distinct ones).

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

Adding to 21012120112221 its reverse (12221102121012), we get a palindrome (33233222233233).

The spelling of 21012120112221 in words is "twenty-one trillion, twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1113 1431 1721 3339 5163 10017 12047 15489 36141 46467 91213 108423 273639 325269 638491 820917 1218853 1915473 2462751 3656559 5746419 8531971 10969677 17239257 25595913 32909031 64599209 76787739 193797627 230363217 452194463 581392881 1356583389 1744178643 2097646013 4069750167 6292938039 12209250501 14683522091 18878814117 44050566273 56636442351 111175238689 132151698819 333525716067 396455096457 778226670823 1000577148201 2334680012469 3001731444603 7004040037407 21012120112221