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100201222220001 = 3731759791228937
BaseRepresentation
bin10110110010000111101010…
…010000011010100011100001
3111010210010212110102102102120
4112302013222100122203201
5101113144100342020001
6553035450033134453
730051204460611000
oct2662075220324341
9433703773372376
10100201222220001
1129a22110780351
12b2a38026ba429
1343bac1c739306
141aa5a9d368c37
15b8b6e51bd236
hex5b21ea41a8e1

100201222220001 has 128 divisors (see below), whose sum is σ = 169888389120000. Its totient is φ = 52305718413312.

The previous prime is 100201222219963. The next prime is 100201222220003. The reversal of 100201222220001 is 100022222102001.

It is not a de Polignac number, because 100201222220001 - 218 = 100201221957857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100201222220003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 80920405 + ... + 82149341.

It is an arithmetic number, because the mean of its divisors is an integer number (1327253040000).

Almost surely, 2100201222220001 is an apocalyptic number.

It is an amenable number.

100201222220001 is a deficient number, since it is larger than the sum of its proper divisors (69687166899999).

100201222220001 is a wasteful number, since it uses less digits than its factorization.

100201222220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229116 (or 1229102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100201222220001 its reverse (100022222102001), we get a palindrome (200223444322002).

The spelling of 100201222220001 in words is "one hundred trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty thousand, one".

Divisors: 1 3 7 17 21 49 51 59 79 119 147 177 237 343 357 413 553 833 1003 1029 1239 1343 1659 2499 2891 3009 3871 4029 4661 5831 7021 8673 9401 11613 13983 17493 20237 21063 27097 28203 32627 49147 60711 65807 79237 81291 97881 147441 197421 228389 237711 344029 460649 554659 685167 1032087 1228937 1381947 1598723 1663977 3686811 3882613 4796169 8602559 11647839 20891929 25807677 27178291 60217913 62675787 72507283 81534873 97086023 146243503 180653739 217521849 291258069 421525391 438730509 507550981 679602161 1023704521 1232623811 1264576173 1522652943 1650462391 2038806483 3071113563 3552856867 3697871433 4757215127 4951387173 5728075357 7165931647 8628366677 10658570601 11553236737 14271645381 17184226071 21497794941 24869998069 25885100031 33300505889 34659710211 40096527499 60398566739 74609994207 80872657159 97377281069 99901517667 120289582497 181195700217 242617971477 280675692493 292131843207 422789967173 566108600113 681640967483 842027077479 1268369901519 1698325800339 1964729847451 2044922902449 4771486772381 5894189542353 14314460317143 33400407406667 100201222220001