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100101021022212 = 22372775330980701
BaseRepresentation
bin10110110000101010010101…
…110011001011100000000100
3111010102120020021012011200220
4112300222111303023200010
5101110023342340202322
6552521435121504340
730041026421516010
oct2660522563134004
9433376207164626
10100101021022212
1129993671814391
12b2882b94a20b0
1343b1641343332
141aa0cb56d3540
15b88ccd48e55c
hex5b0a95ccb804

100101021022212 has 96 divisors (see below), whose sum is σ = 267908069264640. Its totient is φ = 28496153894400.

The previous prime is 100101021022181. The next prime is 100101021022241. The reversal of 100101021022212 is 212220120101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101021022191 and 100101021022200.

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, 1240353462 + ... + 1240434162.

It is an arithmetic number, because the mean of its divisors is an integer number (2790709054840).

Almost surely, 2100101021022212 is an apocalyptic number.

100101021022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101021022212 is an abundant number, since it is smaller than the sum of its proper divisors (167807048242428).

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

100101021022212 is a wasteful number, since it uses less digits than its factorization.

100101021022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134301 (or 134299 counting only the distinct ones).

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

Adding to 100101021022212 its reverse (212220120101001), we get a palindrome (312321141123213).

The spelling of 100101021022212 in words is "one hundred trillion, one hundred one billion, twenty-one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 277 554 831 1108 1662 1939 3324 3878 5817 7756 11634 23268 53309 80701 106618 159927 161402 213236 242103 319854 322804 373163 484206 564907 639708 746326 968412 1119489 1129814 1492652 1694721 2238978 2259628 3389442 4477956 6778884 14766593 22354177 29533186 44299779 44708354 59066372 67062531 88599558 89416708 103366151 134125062 156479239 177199116 206732302 268250124 310098453 312958478 413464604 469437717 620196906 625916956 938875434 1240393812 1877750868 4302089609 8604179218 12906268827 17208358436 25812537654 30114627263 51625075308 60229254526 90343881789 120458509052 180687763578 361375527156 1191678821693 2383357643386 3575036465079 4766715286772 7150072930158 8341751751851 14300145860316 16683503503702 25025255255553 33367007007404 50050510511106 100101021022212