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100221111111210 = 23517596154601829
BaseRepresentation
bin10110110010011010001011…
…101110100000111000101010
3111010212001012112212210001220
4112302122023232200320222
5101114010313421024320
6553052535353122510
730052510363444365
oct2662321356407052
9433761175783056
10100221111111210
1129a2a597510721
12b2a76333b9436
1343bca6c0b0cab
141aa6a289ab0dc
15b8beab2dce40
hex5b268bba0e2a

100221111111210 has 128 divisors (see below), whose sum is σ = 263241974649600. Its totient is φ = 24321838264320.

The previous prime is 100221111111181. The next prime is 100221111111239. The reversal of 100221111111210 is 12111111122001.

It is an interprime number because it is at equal distance from previous prime (100221111111181) and next prime (100221111111239).

It is a super-2 number, since 2×1002211111112102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100221111111210.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 25465425 + ... + 29136404.

It is an arithmetic number, because the mean of its divisors is an integer number (2056577926950).

Almost surely, 2100221111111210 is an apocalyptic number.

100221111111210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100221111111210 is an abundant number, since it is smaller than the sum of its proper divisors (163020863538390).

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

100221111111210 is a wasteful number, since it uses less digits than its factorization.

100221111111210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54601976.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100221111111210 its reverse (12111111122001), we get a palindrome (112332222233211).

The spelling of 100221111111210 in words is "one hundred trillion, two hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 61 85 102 118 122 170 177 183 255 295 305 354 366 510 590 610 885 915 1003 1037 1770 1830 2006 2074 3009 3111 3599 5015 5185 6018 6222 7198 10030 10370 10797 15045 15555 17995 21594 30090 31110 35990 53985 61183 107970 122366 183549 305915 367098 611830 917745 1835490 54601829 109203658 163805487 273009145 327610974 546018290 819027435 928231093 1638054870 1856462186 2784693279 3221507911 3330711569 4641155465 5569386558 6443015822 6661423138 9282310930 9664523733 9992134707 13923466395 16107539555 16653557845 19329047466 19984269414 27846932790 32215079110 33307115690 48322618665 49960673535 54765634487 56622096673 96645237330 99921347070 109531268974 113244193346 164296903461 169866290019 196511982571 273828172435 283110483365 328593806922 339732580038 393023965142 547656344870 566220966730 589535947713 821484517305 849331450095 982559912855 1179071895426 1642969034610 1698662900190 1965119825710 2947679738565 3340703703707 5895359477130 6681407407414 10022111111121 16703518518535 20044222222242 33407037037070 50110555555605 100221111111210