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110201010020101 = 7111331199149311953
BaseRepresentation
bin11001000011101000101100…
…000011100101111100000101
3112110012010001212100210201101
4121003220230003211330011
5103421013132031120401
61030213351202100101
732132521521506560
oct3103505403457405
9473163055323641
10110201010020101
1132127a93249450
121043983b34a631
134964bab928560
141d2da8621b4d7
15cb18ab697101
hex643a2c0e5f05

110201010020101 has 128 divisors (see below), whose sum is σ = 153618348441600. Its totient is φ = 76265539891200.

The previous prime is 110201010020099. The next prime is 110201010020147. The reversal of 110201010020101 is 101020010102011.

It is not a de Polignac number, because 110201010020101 - 21 = 110201010020099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201010020161) 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, 9219521341 + ... + 9219533293.

It is an arithmetic number, because the mean of its divisors is an integer number (1200143347200).

Almost surely, 2110201010020101 is an apocalyptic number.

110201010020101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110201010020101 is a deficient number, since it is larger than the sum of its proper divisors (43417338421499).

110201010020101 is a wasteful number, since it uses less digits than its factorization.

110201010020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13707.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110201010020101 its reverse (101020010102011), we get a palindrome (211221020122112).

It can be divided in two parts, 1102010 and 10020101, that added together give a palindrome (11122111).

The spelling of 110201010020101 in words is "one hundred ten trillion, two hundred one billion, ten million, twenty thousand, one hundred one".

Divisors: 1 7 11 13 31 77 91 143 199 217 341 403 1001 1393 1493 2189 2387 2587 2821 4433 6169 10451 11953 15323 16423 18109 19409 28457 31031 43183 46283 67859 80197 83671 114961 131483 135863 155389 199199 213499 297107 323981 370543 475013 509113 561379 601679 882167 920381 1087723 1494493 1709279 2079749 2378647 2593801 3268177 3563791 3862391 4075973 4211753 4817059 6175169 6618469 9210317 11964953 16650529 17845829 22877239 26165117 27036737 28531811 30922411 33719413 42486301 46329283 52987649 64472219 73738057 101313487 119734121 124920803 183155819 196304119 216456877 231995777 297404107 340146521 370913543 516166399 553220699 709194409 811118627 838138847 958594741 1317075331 1374128833 1623970439 2381025647 2551953547 3551319971 3872544893 5677830389 6085427689 6710163187 7191869087 9219527317 10544542151 17863674829 24859239797 39064519681 42597993823 46167159623 50343083609 73811795057 79110559957 110090919101 273451637767 323170117361 507838755853 553773919699 770636433707 1211000110111 1431181948313 3554871290971 8477000770777 10018273638191 15743001431443 110201010020101