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12021101210100 = 22352378313047977
BaseRepresentation
bin1010111011101110000101…
…1101111010100111110100
31120120012120012201122022110
42232323201131322213310
53033423203402210400
641322230114131020
72350332044232333
oct256734135724764
946505505648273
1012021101210100
113915136275314
12142192a580a70
1369277b27cc18
142d7b78239d1a
1515ca6a6b0e50
hexaeee177a9f4

12021101210100 has 144 divisors (see below), whose sum is σ = 36151458533568. Its totient is φ = 3081410012160.

The previous prime is 12021101210093. The next prime is 12021101210101. The reversal of 12021101210100 is 101210112021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021101210101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5602689 + ... + 7445288.

It is an arithmetic number, because the mean of its divisors is an integer number (251051795372).

Almost surely, 212021101210100 is an apocalyptic number.

12021101210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021101210100 is an abundant number, since it is smaller than the sum of its proper divisors (24130357323468).

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

12021101210100 is a wasteful number, since it uses less digits than its factorization.

12021101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048114 (or 13048107 counting only the distinct ones).

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

Adding to 12021101210100 its reverse (101210112021), we get a palindrome (12122311322121).

The spelling of 12021101210100 in words is "twelve trillion, twenty-one billion, one hundred one million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 83 100 111 148 150 166 185 222 249 300 332 370 415 444 498 555 740 830 925 996 1110 1245 1660 1850 2075 2220 2490 2775 3071 3700 4150 4980 5550 6142 6225 8300 9213 11100 12284 12450 15355 18426 24900 30710 36852 46065 61420 76775 92130 153550 184260 230325 307100 460650 921300 13047977 26095954 39143931 52191908 65239885 78287862 130479770 156575724 195719655 260959540 326199425 391439310 482775149 652398850 782878620 965550298 978598275 1082982091 1304797700 1448325447 1931100596 1957196550 2165964182 2413875745 2896650894 3248946273 3914393100 4331928364 4827751490 5414910455 5793301788 6497892546 7241627235 9655502980 10829820910 12069378725 12995785092 14483254470 16244731365 21659641820 24138757450 27074552275 28966508940 32489462730 36208136175 40070337367 48277514900 54149104550 64978925460 72416272350 80140674734 81223656825 108298209100 120211012101 144832544700 160281349468 162447313650 200351686835 240422024202 324894627300 400703373670 480844048404 601055060505 801406747340 1001758434175 1202110121010 2003516868350 2404220242020 3005275302525 4007033736700 6010550605050 12021101210100