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10101220012212 = 2237237617611407
BaseRepresentation
bin1001001011111101111110…
…1000010111000010110100
31022202200000101112122012120
42102333133220113002310
52310444244310342322
633252234133115540
72061534435300600
oct222773750270264
938680011478176
1010101220012212
1132449a33a437a
121171826188bb0
13583705648284
1426cc8a20c500
15127b5131ca5c
hex92fdfa170b4

10101220012212 has 144 divisors (see below), whose sum is σ = 28620233687808. Its totient is φ = 2762027009280.

The previous prime is 10101220012207. The next prime is 10101220012217. The reversal of 10101220012212 is 21221002210101.

It is an interprime number because it is at equal distance from previous prime (10101220012207) and next prime (10101220012217).

It is a super-2 number, since 2×101012200122122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10101220012191 and 10101220012200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101220012217) 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, 2478588 + ... + 5132819.

It is an arithmetic number, because the mean of its divisors is an integer number (198751622832).

Almost surely, 210101220012212 is an apocalyptic number.

10101220012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101220012212 is an abundant number, since it is smaller than the sum of its proper divisors (18519013675596).

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

10101220012212 is a wasteful number, since it uses less digits than its factorization.

10101220012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7611526 (or 7611517 counting only the distinct ones).

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

Adding to 10101220012212 its reverse (21221002210101), we get a palindrome (31322222222313).

The spelling of 10101220012212 in words is "ten trillion, one hundred one billion, two hundred twenty million, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 61 74 84 98 111 122 147 148 183 196 222 244 259 294 366 427 444 518 588 732 777 854 1036 1281 1554 1708 1813 2257 2562 2989 3108 3626 4514 5124 5439 5978 6771 7252 8967 9028 10878 11956 13542 15799 17934 21756 27084 31598 35868 47397 63196 94794 110593 189588 221186 331779 442372 663558 1327116 7611407 15222814 22834221 30445628 45668442 53279849 91336884 106559698 159839547 213119396 281622059 319679094 372958943 464295827 563244118 639358188 745917886 844866177 928591654 1118876829 1126488236 1392887481 1491835772 1689732354 1857183308 1971354413 2237753658 2785774962 3250070789 3379464708 3942708826 4475507316 5571549924 5914063239 6500141578 7885417652 9750212367 11828126478 13000283156 13799480891 17178945599 19500424734 22750495523 23656252956 27598961782 34357891198 39000849468 41398442673 45500991046 51536836797 55197923564 68251486569 68715782396 82796885346 91001982092 103073673594 120252619193 136502973138 165593770692 206147347188 240505238386 273005946276 360757857579 481010476772 721515715158 841768334351 1443031430316 1683536668702 2525305003053 3367073337404 5050610006106 10101220012212