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22102001022101 = 72111341427118013
BaseRepresentation
bin1010000011010000001011…
…11010110111010010010101
32220020221010110020011011012
411001220011322313102111
510344104344230201401
6115001304043022005
74440550121635100
oct501500572672225
986227113204135
1022102001022101
1170514514194a0
12258b62350a905
13c44295a9c190
14565a57811737
15284dccab38bb
hex141a05eb7495

22102001022101 has 96 divisors (see below), whose sum is σ = 30951010331136. Its totient is φ = 15505305984000.

The previous prime is 22102001022083. The next prime is 22102001022109. The reversal of 22102001022101 is 10122010020122.

It is not a de Polignac number, because 22102001022101 - 226 = 22101933913237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102001022109) 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, 1226993771 + ... + 1227011783.

It is an arithmetic number, because the mean of its divisors is an integer number (322406357616).

Almost surely, 222102001022101 is an apocalyptic number.

It is an amenable number.

22102001022101 is a deficient number, since it is larger than the sum of its proper divisors (8849009309035).

22102001022101 is a wasteful number, since it uses less digits than its factorization.

22102001022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22363 (or 22356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22102001022101 its reverse (10122010020122), we get a palindrome (32224011042223).

The spelling of 22102001022101 in words is "twenty-two trillion, one hundred two billion, one million, twenty-two thousand, one hundred one".

Divisors: 1 7 11 13 41 49 77 91 143 287 451 533 539 637 1001 2009 3157 3731 4271 5863 7007 18013 22099 26117 29897 41041 46981 55523 126091 175111 198143 209279 234169 287287 328867 388661 610753 738533 882637 1225777 1387001 1639183 1926221 2276443 2302069 2575859 2720627 4275271 5169731 8123863 8580439 9600929 9709007 11474281 13483547 15935101 18031013 25040873 29926897 36188117 56867041 67206503 76933523 94384829 105610219 111545707 126217091 175286111 398069287 470445521 538534661 739271533 846268753 1000135799 1227002777 3154274443 3769742627 5174900731 5923881271 7000950593 11001493789 22079921101 34697018873 41005567759 41467168897 49006654151 77010456523 154559447707 242879132111 287038974313 451061245349 539073195661 1700153924777 2009272820191 3157428717443 22102001022101