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2121010110120 = 23351115107106363
BaseRepresentation
bin11110110111010110000…
…011011101111010101000
321111202200211201101001110
4132313112003131322220
5234222312042010440
64302213435350320
7306144415316646
oct36672603357250
97452624641043
102121010110120
11748573a04660
122a3095bb23a0
13125019ab8625
147492c016196
153a28b9b0080
hex1edd60ddea8

2121010110120 has 128 divisors (see below), whose sum is σ = 6942012387840. Its totient is φ = 514145399040.

The previous prime is 2121010110113. The next prime is 2121010110133. The reversal of 2121010110120 is 210110101212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2121010110096 and 2121010110105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19888059 + ... + 19994421.

It is an arithmetic number, because the mean of its divisors is an integer number (54234471780).

Almost surely, 22121010110120 is an apocalyptic number.

2121010110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121010110120 is an abundant number, since it is smaller than the sum of its proper divisors (4821002277720).

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

2121010110120 is a wasteful number, since it uses less digits than its factorization.

2121010110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121495 (or 121491 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121010110120 its reverse (210110101212), we get a palindrome (2331120211332).

The spelling of 2121010110120 in words is "two trillion, one hundred twenty-one billion, ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 15107 30214 45321 60428 75535 90642 106363 120856 151070 166177 181284 212726 226605 302140 319089 332354 362568 425452 453210 498531 531815 604280 638178 664708 830885 850904 906420 997062 1063630 1169993 1276356 1329416 1595445 1661770 1812840 1994124 2127260 2339986 2492655 2552712 3190890 3323540 3509979 3988248 4254520 4679972 4985310 5849965 6381780 6647080 7019958 9359944 9970620 11699930 12763560 14039916 17549895 19941240 23399860 28079832 35099790 46799720 70199580 140399160 1606825841 3213651682 4820477523 6427303364 8034129205 9640955046 12854606728 16068258410 17675084251 19281910092 24102387615 32136516820 35350168502 38563820184 48204775230 53025252753 64273033640 70700337004 88375421255 96409550460 106050505506 141400674008 176750842510 192819100920 212101011012 265126263765 353501685020 424202022024 530252527530 707003370040 1060505055060 2121010110120