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102102010001211 = 31129267101543661
BaseRepresentation
bin10111001101110001111010…
…000010010111011100111011
3111101111212010121222100210210
4113031301322002113130323
5101340314404030014321
61001053003232042203
730335424663303543
oct2715617202273473
9441455117870723
10102102010001211
112a595245940790
12b550078693363
1344c824175637c
141b2da99662323
15bc0d931c2b76
hex5cdc7a09773b

102102010001211 has 96 divisors (see below), whose sum is σ = 157651263334656. Its totient is φ = 58271653440000.

The previous prime is 102102010001203. The next prime is 102102010001231. The reversal of 102102010001211 is 112100010201201.

It is not a de Polignac number, because 102102010001211 - 23 = 102102010001203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102010001231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187532721 + ... + 188076381.

It is an arithmetic number, because the mean of its divisors is an integer number (1642200659736).

Almost surely, 2102102010001211 is an apocalyptic number.

102102010001211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102102010001211 is a deficient number, since it is larger than the sum of its proper divisors (55549253333445).

102102010001211 is a wasteful number, since it uses less digits than its factorization.

102102010001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543901 (or 543872 counting only the distinct ones).

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

Adding to 102102010001211 its reverse (112100010201201), we get a palindrome (214202020202412).

The spelling of 102102010001211 in words is "one hundred two trillion, one hundred two billion, ten million, one thousand, two hundred eleven".

Divisors: 1 3 11 29 33 67 87 101 201 303 319 737 841 957 1111 1943 2211 2523 2929 3333 5829 6767 8787 9251 20301 21373 27753 32219 56347 64119 74437 84941 96657 169041 196243 223311 254823 543661 588729 619817 934351 1630983 1859451 2158673 2803053 5691047 5980271 6476019 15766169 17073141 17940813 36425287 47298507 54909761 62601517 109275861 164729283 173427859 187804551 400678157 457218901 520283577 604007371 1056333323 1202034471 1371656703 1592383069 1812022113 3168999969 3678953987 4777149207 5029407911 11036861961 11619666553 15088223733 17516213759 30633666367 34858999659 40468493857 46179109001 52548641277 91900999101 106689665623 121405481571 138537327003 320068996869 336970330037 507970199011 1010910990111 1173586321853 1523910597033 3094000303067 3520758965559 9282000909201 34034003333737 102102010001211