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122201222100100 = 2252111310184609307
BaseRepresentation
bin11011110010010000110000…
…011011110011010010000100
3121000200022201021111200120121
4123302100300123303102010
5112004121100324200400
61111522244425511324
734511514126261253
oct3362206033632204
9530608637450517
10122201222100100
1135a3427a107080
12118574ba042544
1353256ab241960
1422267dc04479a
15e1db0300b21a
hex6f24306f3484

122201222100100 has 144 divisors (see below), whose sum is σ = 314620727109696. Its totient is φ = 40612466880000.

The previous prime is 122201222100079. The next prime is 122201222100143. The reversal of 122201222100100 is 1001222102221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40860354 + ... + 43748953.

It is an arithmetic number, because the mean of its divisors is an integer number (2184866160484).

Almost surely, 2122201222100100 is an apocalyptic number.

122201222100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201222100100 is an abundant number, since it is smaller than the sum of its proper divisors (192419505009596).

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

122201222100100 is a wasteful number, since it uses less digits than its factorization.

122201222100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84609446 (or 84609439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122201222100100 its reverse (1001222102221), we get a palindrome (123202444202321).

The spelling of 122201222100100 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 101 110 130 143 202 220 260 275 286 325 404 505 550 572 650 715 1010 1100 1111 1300 1313 1430 2020 2222 2525 2626 2860 3575 4444 5050 5252 5555 6565 7150 10100 11110 13130 14300 14443 22220 26260 27775 28886 32825 55550 57772 65650 72215 111100 131300 144430 288860 361075 722150 1444300 84609307 169218614 338437228 423046535 846093070 930702377 1099920991 1692186140 1861404754 2115232675 2199841982 3722809508 4230465350 4399683964 4653511885 5499604955 8460930700 8545540007 9307023770 10999209910 12099130901 17091080014 18614047540 21998419820 23267559425 24198261802 27498024775 34182160028 42727700035 46535118850 48396523604 54996049550 60495654505 85455400070 93070237700 94000940077 109992099100 111092020091 120991309010 170910800140 188001880154 213638500175 222184040182 241982618020 302478272525 376003760308 427277000350 444368080364 470004700385 555460100455 604956545050 854554000700 940009400770 1110920200910 1209913090100 1222012221001 1880018801540 2221840401820 2350023501925 2444024442002 2777300502275 4700047003850 4888048884004 5554601004550 6110061105005 9400094007700 11109202009100 12220122210010 24440244420020 30550305525025 61100611050050 122201222100100