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102022100101201 = 7172211499347869
BaseRepresentation
bin10111001100100111011111…
…000010010010100001010001
3111101020012212120101211202111
4113030213133002102201101
5101333012230111214301
61000552150013345321
730326565514332250
oct2714473702224121
9441205776354674
10102022100101201
112a564369884105
12b538696a98241
1344c08481a9b77
141b29c7885c797
15bbdc67aa0551
hex5cc9df092851

102022100101201 has 48 divisors (see below), whose sum is σ = 124473295788160. Its totient is φ = 81895362232320.

The previous prime is 102022100101199. The next prime is 102022100101241. The reversal of 102022100101201 is 102101001220201.

It is not a de Polignac number, because 102022100101201 - 21 = 102022100101199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102022100101241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2131253095 + ... + 2131300963.

Almost surely, 2102022100101201 is an apocalyptic number.

It is an amenable number.

102022100101201 is a deficient number, since it is larger than the sum of its proper divisors (22451195686959).

102022100101201 is a wasteful number, since it uses less digits than its factorization.

102022100101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53114 (or 53097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102022100101201 its reverse (102101001220201), we get a palindrome (204123101321402).

The spelling of 102022100101201 in words is "one hundred two trillion, twenty-two billion, one hundred million, one hundred one thousand, two hundred one".

Divisors: 1 7 17 119 211 289 1477 2023 3587 4993 25109 34951 47869 60979 84881 335083 426853 594167 813773 1053523 1442977 5696411 7374661 10100359 10100839 13834141 17909891 70702513 96838987 125369237 171706103 239009917 304468147 1201942721 1673069419 2131277029 2919003751 4063168589 20433026257 28442180123 50431092487 69073866013 353017647409 483517062091 857328572279 6001300005953 14574585728743 102022100101201