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102100000220210 = 25413894157153997
BaseRepresentation
bin10111001101110000000010…
…001111101010010000110010
3111101111122221120012220120102
4113031300002033222100302
5101340301300024021320
61001052031555312402
730335324120403656
oct2715600217522062
9441448846186512
10102100000220210
112a594404423553
12b54b7b75ab702
1344c7cb1266045
141b2d94877ca66
15bc0cc6a2c175
hex5cdc023ea432

102100000220210 has 64 divisors (see below), whose sum is σ = 188793034990560. Its totient is φ = 39731657902080.

The previous prime is 102100000220161. The next prime is 102100000220227. The reversal of 102100000220210 is 12022000001201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 86545990969 + 102013454229241 = 294187^2 + 10100171^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102100000220191 and 102100000220200.

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, 662922932 + ... + 663076928.

Almost surely, 2102100000220210 is an apocalyptic number.

102100000220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102100000220210 is a deficient number, since it is larger than the sum of its proper divisors (86693034770350).

102100000220210 is a wasteful number, since it uses less digits than its factorization.

102100000220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158591.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102100000220210 its reverse (12022000001201), we get a palindrome (114122000221411).

The spelling of 102100000220210 in words is "one hundred two trillion, one hundred billion, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 5 10 41 82 205 389 410 778 1945 3890 4157 8314 15949 20785 31898 41570 79745 153997 159490 170437 307994 340874 769985 852185 1539970 1617073 1704370 3234146 6313877 8085365 12627754 16170730 31569385 59904833 63138770 66299993 119809666 132599986 299524165 331499965 599048330 640165529 662999930 1280331058 2456098153 3200827645 4912196306 6401655290 12280490765 24560981530 26246786689 52493573378 131233933445 249024390781 262467866890 498048781562 1245121953905 2490243907810 10210000022021 20420000044042 51050000110105 102100000220210