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21221120121102 = 23211472447393179
BaseRepresentation
bin1001101001100111011010…
…10100111001100100001110
32210010201102100101221011200
410310303231110321210032
510240141323222333402
6113044503100130330
74320114065550006
oct464635524714416
983121370357150
1021221120121102
116841910090770
1224689662369a6
13bac1b2350605
14535171727006
1526c023cea21c
hex134ced53990e

21221120121102 has 96 divisors (see below), whose sum is σ = 51228867156480. Its totient is φ = 6293495564160.

The previous prime is 21221120121083. The next prime is 21221120121137. The reversal of 21221120121102 is 20112102112212.

21221120121102 is a `hidden beast` number, since 212 + 211 + 20 + 121 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227699149 + ... + 227792327.

It is an arithmetic number, because the mean of its divisors is an integer number (533634032880).

Almost surely, 221221120121102 is an apocalyptic number.

21221120121102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21221120121102 is an abundant number, since it is smaller than the sum of its proper divisors (30007747035378).

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

21221120121102 is a wasteful number, since it uses less digits than its factorization.

21221120121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117718 (or 117715 counting only the distinct ones).

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

Adding to 21221120121102 its reverse (20112102112212), we get a palindrome (41333222233314).

The spelling of 21221120121102 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 3102 4653 9306 24473 48946 73419 93179 146838 186358 220257 269203 279537 440514 538406 559074 807609 838611 1024969 1150231 1615218 1677222 2049938 2300462 2422827 3074907 3450693 4379413 4845654 6149814 6901386 8758826 9224721 10352079 12652541 13138239 18449442 20704158 25305082 26276478 37957623 39414717 48173543 75915246 78829434 96347086 113872869 144520629 227745738 289041258 433561887 867123774 2280369667 4560739334 6841109001 13682218002 20523327003 25084066337 41046654006 50168132674 75252199011 107177374349 150504398022 214354748698 225756597033 321532123047 451513194066 643064246094 964596369141 1178951117839 1929192738282 2357902235678 3536853353517 7073706707034 10610560060551 21221120121102