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12102010121001 = 3234161891097229
BaseRepresentation
bin1011000000011011100000…
…0000111010101100101001
31120211221101220010011200010
42300012320000322230221
53041234404042333001
641423330421002133
72356225043515053
oct260067000725451
946757356104603
1012102010121001
11394648523a629
12143554a853349
1369a2a37ab328
142dba519b08d3
1515ec0386b8d6
hexb01b803ab29

12102010121001 has 128 divisors (see below), whose sum is σ = 17893104768000. Its totient is φ = 7254182707200.

The previous prime is 12102010120943. The next prime is 12102010121011. The reversal of 12102010121001 is 10012101020121.

It is not a de Polignac number, because 12102010121001 - 27 = 12102010120873 is a prime.

It is a super-2 number, since 2×121020101210012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102010121011) 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, 1674088255 + ... + 1674095483.

It is an arithmetic number, because the mean of its divisors is an integer number (139789881000).

Almost surely, 212102010121001 is an apocalyptic number.

It is an amenable number.

12102010121001 is a deficient number, since it is larger than the sum of its proper divisors (5791094646999).

12102010121001 is a wasteful number, since it uses less digits than its factorization.

12102010121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7555.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102010121001 its reverse (10012101020121), we get a palindrome (22114111141122).

The spelling of 12102010121001 in words is "twelve trillion, one hundred two billion, ten million, one hundred twenty-one thousand, one".

Divisors: 1 3 23 41 61 69 89 109 123 183 267 327 943 1403 2047 2501 2507 2829 3649 4209 4469 5429 6141 6649 7229 7503 7521 9701 10947 13407 16287 19947 21687 29103 57523 83927 102787 124867 152927 166267 172569 222589 223123 251781 272609 296389 308361 374601 397741 440969 458781 498801 591761 643381 667767 669369 787961 817827 889167 1193223 1322907 1775283 1930143 2363883 5119547 6270007 6816947 9148043 10142287 13610503 14797763 15358641 18079729 18123103 18810021 20450841 24262201 26378621 27444129 30426861 32306401 39246241 40831509 44393289 48065621 54239187 54369309 70128529 72786603 79135863 96919203 117738723 144196863 210385587 415833767 558030623 606708283 743047223 902663543 1105509283 1247501301 1609095881 1612956167 1674091869 1820124849 1970690461 2229141669 2707990629 2875269689 3316527849 4277840269 4827287643 4838868501 5912071383 8625809067 12833520807 37009205263 45325880603 66131202847 98390326187 111027615789 135977641809 175391451029 198393608541 295170978561 526174353087 4034003373667 12102010121001