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102010001212212 = 22353197098138063
BaseRepresentation
bin10111001100011100001101…
…111000101100001100110100
3111101012001122101012121012220
4113030130031320230030310
5101332312440302242322
61000542425252242340
730325656632431362
oct2714341570541464
9441161571177186
10102010001212212
112a55a22031a7a5
12b53627b0103b0
1344bc66a700462
141b2944ba5c632
15bbd7aa7e955c
hex5cc70de2c334

102010001212212 has 48 divisors (see below), whose sum is σ = 242526677057280. Its totient is φ = 33360064586368.

The previous prime is 102010001212211. The next prime is 102010001212219. The reversal of 102010001212212 is 212212100010201.

It is a junction number, because it is equal to n+sod(n) for n = 102010001212191 and 102010001212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010001212211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8465893 + ... + 16603955.

It is an arithmetic number, because the mean of its divisors is an integer number (5052639105360).

Almost surely, 2102010001212212 is an apocalyptic number.

102010001212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010001212212 is an abundant number, since it is smaller than the sum of its proper divisors (140516675845068).

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

102010001212212 is a wasteful number, since it uses less digits than its factorization.

102010001212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8157832 (or 8157830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102010001212212 its reverse (212212100010201), we get a palindrome (314222101222413).

The spelling of 102010001212212 in words is "one hundred two trillion, ten billion, one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 19709 39418 59127 78836 118254 236508 1044577 2089154 3133731 4178308 6267462 8138063 12534924 16276126 24414189 32552252 48828378 97656756 431317339 862634678 1293952017 1725269356 2587904034 5175808068 160393083667 320786167334 481179251001 641572334668 962358502002 1924717004004 8500833434351 17001666868702 25502500303053 34003333737404 51005000606106 102010001212212