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101210200100 = 22522934900069
BaseRepresentation
bin101111001000010011…
…0010001100000100100
3100200020111211212200122
41132100212101200210
53124234302400400
6114254553501112
710212040335452
oct1362046214044
9320214755618
10101210200100
1139a17579379
1217747111798
13970c465889
144c81a879d2
1529755dc685
hex1790991824

101210200100 has 36 divisors (see below), whose sum is σ = 227199455700. Its totient is φ = 39088076160.

The previous prime is 101210200079. The next prime is 101210200123. The reversal of 101210200100 is 1002012101.

101210200100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13745686564 + 87464513536 = 117242^2 + 295744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17447135 + ... + 17452934.

Almost surely, 2101210200100 is an apocalyptic number.

101210200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210200100 is an abundant number, since it is smaller than the sum of its proper divisors (125989255600).

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

101210200100 is a wasteful number, since it uses less digits than its factorization.

101210200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34900112 (or 34900105 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101210200100 its reverse (1002012101), we get a palindrome (102212212201).

The spelling of 101210200100 in words is "one hundred one billion, two hundred ten million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 34900069 69800138 139600276 174500345 349000690 698001380 872501725 1012102001 1745003450 2024204002 3490006900 4048408004 5060510005 10121020010 20242040020 25302550025 50605100050 101210200100