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100102020221120 = 2654140119026751
BaseRepresentation
bin10110110000101011010001…
…010110110100100011000000
3111010102122210220100201220212
4112300223101112310203000
5101110032414134033440
6552522122214053252
730041063243542241
oct2660532126644300
9433378726321825
10100102020221120
1129994034840305
12b28853804a228
1343b177035c9a8
141aa0d6c2b2cc8
15b88d3b063465
hex5b0ad15b48c0

100102020221120 has 112 divisors (see below), whose sum is σ = 244790732745216. Its totient is φ = 38966784000000.

The previous prime is 100102020221081. The next prime is 100102020221191. The reversal of 100102020221120 is 21122020201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102020221095 and 100102020221104.

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, 4252256 + ... + 14774495.

It is an arithmetic number, because the mean of its divisors is an integer number (2185631542368).

Almost surely, 2100102020221120 is an apocalyptic number.

100102020221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102020221120 is an abundant number, since it is smaller than the sum of its proper divisors (144688712524096).

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

100102020221120 is a wasteful number, since it uses less digits than its factorization.

100102020221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19027210 (or 19027200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100102020221120 its reverse (21122020201001), we get a palindrome (121224040422121).

The spelling of 100102020221120 in words is "one hundred trillion, one hundred two billion, twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 401 410 656 802 820 1312 1604 1640 2005 2624 3208 3280 4010 6416 6560 8020 12832 13120 16040 16441 25664 32080 32882 64160 65764 82205 128320 131528 164410 263056 328820 526112 657640 1052224 1315280 2630560 5261120 19026751 38053502 76107004 95133755 152214008 190267510 304428016 380535020 608856032 761070040 780096791 1217712064 1522140080 1560193582 3044280160 3120387164 3900483955 6088560320 6240774328 7629727151 7800967910 12481548656 15259454302 15601935820 24963097312 30518908604 31203871640 38148635755 49926194624 61037817208 62407743280 76297271510 122075634416 124815486560 152594543020 244151268832 249630973120 305189086040 312818813191 488302537664 610378172080 625637626382 1220756344160 1251275252764 1564094065955 2441512688320 2502550505528 3128188131910 5005101011056 6256376263820 10010202022112 12512752527640 20020404044224 25025505055280 50051010110560 100102020221120