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101012200201100 = 2252163238018819
BaseRepresentation
bin10110111101111010111100…
…010011111001101110001100
3111020122200010220120101101202
4112331322330103321232030
5101214440441222413400
6554500210353525032
730163614325660556
oct2675727423715614
9436580126511352
10101012200201100
112a2050406a37a1
12b3b4a11573778
134449542ba0c96
141ad30336ac4d6
15ba285c1504d5
hex5bdebc4f9b8c

101012200201100 has 54 divisors (see below), whose sum is σ = 220549493968020. Its totient is φ = 40156996324320.

The previous prime is 101012200201079. The next prime is 101012200201141. The reversal of 101012200201100 is 1102002210101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16352510 + ... + 21666309.

Almost surely, 2101012200201100 is an apocalyptic number.

101012200201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012200201100 is an abundant number, since it is smaller than the sum of its proper divisors (119537293766920).

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

101012200201100 is a wasteful number, since it uses less digits than its factorization.

101012200201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38019159 (or 38018989 counting only the distinct ones).

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

Adding to 101012200201100 its reverse (1102002210101), we get a palindrome (102114202411201).

The spelling of 101012200201100 in words is "one hundred one trillion, twelve billion, two hundred million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1630 3260 4075 8150 16300 26569 53138 106276 132845 265690 531380 664225 1328450 2656900 38018819 76037638 152075276 190094095 380188190 760376380 950470475 1900940950 3801881900 6197067497 12394134994 24788269988 30985337485 61970674970 123941349940 154926687425 309853374850 619706749700 1010122002011 2020244004022 4040488008044 5050610010055 10101220020110 20202440040220 25253050050275 50506100100550 101012200201100