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100012120011111 = 371141101383327277
BaseRepresentation
bin10110101111010111100010…
…111000101111000101100111
3111010010001202121020212221010
4112233113202320233011213
5101102044310210323421
6552412533400353303
730031431365424510
oct2657274270570547
9433101677225833
10100012120011111
11299599a1487990
12b273028775833
1343a6144109759
141a9a88074da07
15b86828849076
hex5af5e2e2f167

100012120011111 has 128 divisors (see below), whose sum is σ = 172046293235712. Its totient is φ = 50170383360000.

The previous prime is 100012120011019. The next prime is 100012120011113. The reversal of 100012120011111 is 111110021210001.

It is not a de Polignac number, because 100012120011111 - 219 = 100012119486823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012120011113) 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, 3666523005 + ... + 3666550281.

It is an arithmetic number, because the mean of its divisors is an integer number (1344111665904).

Almost surely, 2100012120011111 is an apocalyptic number.

100012120011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100012120011111 is a deficient number, since it is larger than the sum of its proper divisors (72034173224601).

100012120011111 is a wasteful number, since it uses less digits than its factorization.

100012120011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31273.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100012120011111 its reverse (111110021210001), we get a palindrome (211122141221112).

The spelling of 100012120011111 in words is "one hundred trillion, twelve billion, one hundred twenty million, eleven thousand, one hundred eleven".

Divisors: 1 3 7 11 21 33 41 77 101 123 231 287 303 451 707 861 1111 1353 2121 3157 3333 3833 4141 7777 9471 11499 12423 23331 26831 27277 28987 42163 45551 80493 81831 86961 126489 136653 157153 190939 295141 300047 318857 387133 471459 572817 885423 900141 956571 1100071 1118357 1161399 1728683 2100329 2709931 2754977 3300213 3355071 4258463 5186049 6300987 7828499 8129793 8264931 12100781 12301927 12775389 15872453 19284839 23485497 29809241 30304747 36302343 36905781 47617359 57854517 86113489 89427723 90914241 104552741 111107171 112954057 174596983 212133229 258340467 313658223 333321513 338862171 523790949 636399687 731869187 790678399 1150080151 1222178881 1242494627 2195607561 2372035197 3450240453 3666536643 3727483881 4286662381 8050561057 8697462389 10559826841 12859987143 24151683171 26092387167 30006636667 31679480523 47153286191 73918787887 90019910001 116158095251 141459858573 221756363661 330073003337 348474285753 432952900481 813106666757 990219010011 1298858701443 2439320000271 3030670303367 4762481905291 9092010910101 14287445715873 33337373337037 100012120011111