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101220220201210 = 251119210872344973
BaseRepresentation
bin10111000000111100101011…
…010001001110100011111010
3111021101120002011220021210021
4113000330223101032203322
5101231343002332414320
6555135532140241054
730214630262544235
oct2700745321164372
9437346064807707
10101220220201210
112a285288552760
12b4291a6b4018a
134463044916746
141add12898241c
15ba7e84720daa
hex5c0f2b44e8fa

101220220201210 has 96 divisors (see below), whose sum is σ = 209964394570752. Its totient is φ = 34838029618560.

The previous prime is 101220220201193. The next prime is 101220220201213. The reversal of 101220220201210 is 12102022022101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101220220201213) 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, 41992284 + ... + 44337256.

It is an arithmetic number, because the mean of its divisors is an integer number (2187129110112).

Almost surely, 2101220220201210 is an apocalyptic number.

101220220201210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101220220201210 is an abundant number, since it is smaller than the sum of its proper divisors (108744174369542).

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

101220220201210 is a wasteful number, since it uses less digits than its factorization.

101220220201210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346116 (or 2346097 counting only the distinct ones).

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

Adding to 101220220201210 its reverse (12102022022101), we get a palindrome (113322242223311).

The spelling of 101220220201210 in words is "one hundred one trillion, two hundred twenty billion, two hundred twenty million, two hundred one thousand, two hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 361 418 722 1045 1087 1805 2090 2174 3610 3971 5435 7942 10870 11957 19855 20653 23914 39710 41306 59785 103265 119570 206530 227183 392407 454366 784814 1135915 1962035 2271830 2344973 3924070 4316477 4689946 8632954 11724865 21582385 23449730 25794703 43164770 44554487 51589406 89108974 128973515 222772435 257947030 445544870 490099357 846535253 980198714 1693070506 2450496785 2548985651 4232676265 4900993570 5097971302 8465352530 9311887783 12744928255 18623775566 25489856510 28038842161 46559438915 48430727369 56077684322 93118877830 96861454738 140194210805 242153636845 280388421610 484307273690 532738001059 920183820011 1065476002118 1840367640022 2663690005295 4600919100055 5327380010590 9201838200110 10122022020121 20244044040242 50610110100605 101220220201210