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10012222122201 = 34131011271913881
BaseRepresentation
bin1001000110110010011011…
…1100010110100011011001
31022110011021222022101120000
42101230212330112203121
52303020012330402301
633143315031323213
72052234124563525
oct221544674264331
938404258271500
1010012222122201
113210183408362
121158528b20509
135781c13216b0
1426884644ad85
15125692e3c786
hex91b26f168d9

10012222122201 has 160 divisors (see below), whose sum is σ = 16484671881216. Its totient is φ = 6019090560000.

The previous prime is 10012222122181. The next prime is 10012222122277. The reversal of 10012222122201 is 10222122221001.

It is a happy number.

10012222122201 is a `hidden beast` number, since 10 + 0 + 1 + 222 + 212 + 220 + 1 = 666.

10012222122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10012222122201 - 213 = 10012222114009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012222129201) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2579802781 + ... + 2579806661.

Almost surely, 210012222122201 is an apocalyptic number.

It is an amenable number.

10012222122201 is a deficient number, since it is larger than the sum of its proper divisors (6472449759015).

10012222122201 is a wasteful number, since it uses less digits than its factorization.

10012222122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10012222122201 its reverse (10222122221001), we get a palindrome (20234344343202).

The spelling of 10012222122201 in words is "ten trillion, twelve billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 3 9 13 27 39 81 101 117 127 191 303 351 381 573 909 1053 1143 1313 1651 1719 2483 2727 3429 3881 3939 4953 5157 7449 8181 10287 11643 11817 12827 14859 15471 19291 22347 24257 34929 35451 38481 44577 50453 57873 67041 72771 104787 106353 115443 133731 151359 166751 173619 201123 218313 250783 314361 315341 346329 391981 454077 492887 500253 520857 654939 741271 752349 946023 1038987 1175943 1362231 1478661 1500759 1562571 1964817 2223813 2257047 2449957 2838069 3527829 4086693 4435983 4502277 5095753 6407531 6671439 6771141 7349871 8514207 9636523 10583487 13307949 13506831 15287259 19222593 20014317 20313423 22049613 25542621 28909569 31750461 31849441 39923847 45861777 49781587 57667779 60042951 66148839 74868371 86728707 94141417 95548323 137585331 149344761 173003337 198446517 224605113 260186121 282424251 286644969 412755993 448034283 519010011 647160631 673815339 780558363 847272753 859934907 973288823 1223838421 1344102849 1941481893 2021446017 2541818259 2579804721 2919866469 3671515263 4032308547 5824445679 6064338051 7625454777 8759599407 9508283117 11014545789 17473337037 26278798221 28524849351 33043637367 52420011111 78836394663 85574548053 99130912101 123607680521 256723644159 370823041563 770170932477 1112469124689 3337407374067 10012222122201