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102121022221120 = 2657149930413437
BaseRepresentation
bin10111001110000011100111…
…010000001110101101000000
3111101120200012121211012111201
4113032003213100032231000
5101341122323142033440
61001105425553550544
730340000062433240
oct2716034720165500
9441520177735451
10102121022221120
112a5a2311832a21
12b5538a3875454
1344c9c815b1c36
141b3098069bb20
15bc160737319a
hex5ce0e740eb40

102121022221120 has 112 divisors (see below), whose sum is σ = 278100477072000. Its totient is φ = 34989563234304.

The previous prime is 102121022221109. The next prime is 102121022221133. The reversal of 102121022221120 is 21122220121201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11848959 + ... + 18564478.

Almost surely, 2102121022221120 is an apocalyptic number.

102121022221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121022221120 is an abundant number, since it is smaller than the sum of its proper divisors (175979454850880).

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

102121022221120 is a wasteful number, since it uses less digits than its factorization.

102121022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30414960 (or 30414950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 102121022221120 its reverse (21122220121201), we get a palindrome (123243242342321).

The spelling of 102121022221120 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1499 2240 2998 5996 7495 10493 11992 14990 20986 23984 29980 41972 47968 52465 59960 83944 95936 104930 119920 167888 209860 239840 335776 419720 479680 671552 839440 1678880 3357760 30413437 60826874 121653748 152067185 212894059 243307496 304134370 425788118 486614992 608268740 851576236 973229984 1064470295 1216537480 1703152472 1946459968 2128940590 2433074960 3406304944 4257881180 4866149920 6812609888 8515762360 9732299840 13625219776 17031524720 34063049440 45589742063 68126098880 91179484126 182358968252 227948710315 319128194441 364717936504 455897420630 638256388882 729435873008 911794841260 1276512777764 1458871746016 1595640972205 1823589682520 2553025555528 2917743492032 3191281944410 3647179365040 5106051111056 6382563888820 7294358730080 10212102222112 12765127777640 14588717460160 20424204444224 25530255555280 51060511110560 102121022221120