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101222012201200 = 24521161377131193
BaseRepresentation
bin10111000000111110010110…
…000101001010100011110000
3111021101201201001212022122021
4113000332112011022203300
5101231410140110414300
6555140430033121224
730215022552362062
oct2700762605124360
9437351631768567
10101222012201200
112a286018042890
12b4296070b9214
13446326bc65377
141add258975732
15ba803bbe8d1a
hex5c0f9614a8f0

101222012201200 has 120 divisors (see below), whose sum is σ = 269642769610896. Its totient is φ = 36204594432000.

The previous prime is 101222012201171. The next prime is 101222012201231. The reversal of 101222012201200 is 2102210222101.

It is a happy number.

101222012201200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188297197 + ... + 188833996.

Almost surely, 2101222012201200 is an apocalyptic number.

101222012201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222012201200 is an abundant number, since it is smaller than the sum of its proper divisors (168420757409696).

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

101222012201200 is a wasteful number, since it uses less digits than its factorization.

101222012201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377131283 (or 377131272 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222012201200 its reverse (2102210222101), we get a palindrome (103324222423301).

The spelling of 101222012201200 in words is "one hundred one trillion, two hundred twenty-two billion, twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 61 80 88 100 110 122 176 200 220 244 275 305 400 440 488 550 610 671 880 976 1100 1220 1342 1525 2200 2440 2684 3050 3355 4400 4880 5368 6100 6710 10736 12200 13420 16775 24400 26840 33550 53680 67100 134200 268400 377131193 754262386 1508524772 1885655965 3017049544 3771311930 4148443123 6034099088 7542623860 8296886246 9428279825 15085247720 16593772492 18856559650 20742215615 23005002773 30170495440 33187544984 37713119300 41484431230 46010005546 66375089968 75426238600 82968862460 92020011092 103711078075 115025013865 150852477200 165937724920 184040022184 207422156150 230050027730 253055030503 331875449840 368080044368 414844312300 460100055460 506110061006 575125069325 829688624600 920200110920 1012220122012 1150250138650 1265275152515 1659377249200 1840400221840 2024440244024 2300500277300 2530550305030 4048880488048 4601000554600 5061100610060 6326375762575 9202001109200 10122201220120 12652751525150 20244402440240 25305503050300 50611006100600 101222012201200