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202101210100120 = 235411217233343403
BaseRepresentation
bin101101111100111101011010…
…110101100011000110011000
3222111120200112211010201002011
4231330331122311203012120
5202442211234241200440
61553500003022115304
760366221250424012
oct5574753265430630
9874520484121064
10202101210100120
1159439707374381
121a80069a41bb34
1388a00a6c52456
1437c9a721331b2
1518571b26399ea
hexb7cf5ad63198

202101210100120 has 128 divisors (see below), whose sum is σ = 466411977541440. Its totient is φ = 78768366223360.

The previous prime is 202101210100093. The next prime is 202101210100151. The reversal of 202101210100120 is 21001012101202.

It is a self number, because there is not a number n which added to its sum of digits gives 202101210100120.

It is a congruent number.

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, 4656366339 + ... + 4656409741.

Almost surely, 2202101210100120 is an apocalyptic number.

202101210100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101210100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233205988770720).

202101210100120 is an abundant number, since it is smaller than the sum of its proper divisors (264310767441320).

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

202101210100120 is a wasteful number, since it uses less digits than its factorization.

202101210100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47005 (or 47001 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 202101210100120 its reverse (21001012101202), we get a palindrome (223102222201322).

The spelling of 202101210100120 in words is "two hundred two trillion, one hundred one billion, two hundred ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1217 1640 2333 2434 4666 4868 6085 9332 9736 11665 12170 18664 23330 24340 43403 46660 48680 49897 86806 93320 95653 99794 173612 191306 199588 217015 249485 347224 382612 399176 434030 478265 498970 765224 868060 956530 997940 1736120 1779523 1913060 1995880 2839261 3559046 3826120 5678522 7118092 8897615 11357044 14196305 14236184 17795230 22714088 28392610 35590460 52821451 56785220 71180920 101259199 105642902 113570440 116409701 202518398 211285804 232819402 264107255 405036796 422571608 465638804 506295995 528214510 582048505 810073592 931277608 1012591990 1056429020 1164097010 2025183980 2112858040 2165679491 2328194020 4050367960 4151627159 4331358982 4656388040 8303254318 8662717964 10828397455 16606508636 17325435928 20758135795 21656794910 33213017272 41516271590 43313589820 83032543180 86627179640 123232445183 166065086360 246464890366 492929780732 616162225915 985859561464 1232324451830 2464648903660 4929297807320 5052530252503 10105060505006 20210121010012 25262651262515 40420242020024 50525302525030 101050605050060 202101210100120