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102211202021201 = 7133147227895881
BaseRepresentation
bin10111001111010111100110…
…011000110111011101010001
3111101220021222102000200222022
4113033113212120313131101
5101344112020204134301
61001215102240021225
730346341604203260
oct2717274630673521
9441807872020868
10102211202021201
112a62758899a519
12b569270901815
1345056237380a0
141b350974005d7
15bc3b343b8d1b
hex5cf5e6637751

102211202021201 has 96 divisors (see below), whose sum is σ = 132748243568640. Its totient is φ = 76556053324800.

The previous prime is 102211202021197. The next prime is 102211202021239. The reversal of 102211202021201 is 102120202112201.

It is not a de Polignac number, because 102211202021201 - 22 = 102211202021197 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102211202021201.

It is not an unprimeable number, because it can be changed into a prime (102211202021281) 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, 17379898781 + ... + 17379904661.

It is an arithmetic number, because the mean of its divisors is an integer number (1382794203840).

Almost surely, 2102211202021201 is an apocalyptic number.

It is an amenable number.

102211202021201 is a deficient number, since it is larger than the sum of its proper divisors (30537041547439).

102211202021201 is a wasteful number, since it uses less digits than its factorization.

102211202021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102211202021201 its reverse (102120202112201), we get a palindrome (204331404133402).

The spelling of 102211202021201 in words is "one hundred two trillion, two hundred eleven billion, two hundred two million, twenty-one thousand, two hundred one".

Divisors: 1 7 13 31 47 91 217 329 403 611 1457 2209 2789 2821 4277 5881 10199 15463 18941 19523 28717 36257 41167 68479 76453 86459 131083 132587 182311 201019 253799 276407 479353 535171 605213 890227 917581 1123967 1276177 1704079 1934849 2370043 3593291 4063573 6160901 6231589 7867769 8568617 11928553 12991129 16402109 16590301 25153037 28445011 43126307 52826449 59980319 80091713 90937903 111392021 114814763 168884677 190987931 213227417 369785143 402724999 508465379 560641991 770899123 779744147 1182192739 1336915517 1492591919 2482843103 2819074993 3559257653 5235424987 5396293861 6610049927 10021688599 17379901721 23897872813 36232258781 36647974909 46270349489 70151820193 167285109691 253625811467 310672346569 471019364153 1123200022211 2174706425983 3297135549071 7862400155477 14601600288743 102211202021201