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122101201100 = 225273911531433
BaseRepresentation
bin111000110110111001…
…1000111100011001100
3102200011102221200112102
41301231303013203030
54000030401413400
6132031552254232
711551532041064
oct1615563074314
9380142850472
10122101201100
1147867a4365a
121b7b7541378
13b68b605b28
145ca44263a4
1532996a89d5
hex1c6dcc78cc

122101201100 has 72 divisors (see below), whose sum is σ = 265733564880. Its totient is φ = 48698081280.

The previous prime is 122101201087. The next prime is 122101201127. The reversal of 122101201100 is 1102101221.

122101201100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 85205984 + ... + 85207416.

Almost surely, 2122101201100 is an apocalyptic number.

122101201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101201100 is an abundant number, since it is smaller than the sum of its proper divisors (143632363780).

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

122101201100 is a wasteful number, since it uses less digits than its factorization.

122101201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122101201100 its reverse (1102101221), we get a palindrome (123203302321).

The spelling of 122101201100 in words is "one hundred twenty-two billion, one hundred one million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 739 1153 1433 1478 2306 2866 2956 3695 4612 5732 5765 7165 7390 11530 14330 14780 18475 23060 28660 28825 35825 36950 57650 71650 73900 115300 143300 852067 1058987 1652249 1704134 2117974 3304498 3408268 4235948 4260335 5294935 6608996 8261245 8520670 10589870 16522490 17041340 21179740 21301675 26474675 33044980 41306225 42603350 52949350 82612450 85206700 105898700 165224900 1221012011 2442024022 4884048044 6105060055 12210120110 24420240220 30525300275 61050600550 122101201100