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102020110101 = 32713193724789
BaseRepresentation
bin101111100000011011…
…1110101011100010101
3100202022221211120100100
41133000313311130111
53132414122010401
6114511205004313
710241103425220
oct1370067653425
9322287746310
10102020110101
113a2a2768788
12179323b3699
13980b1a8370
144d1b4725b7
1529c1770b86
hex17c0df5715

102020110101 has 144 divisors (see below), whose sum is σ = 196255113600. Its totient is φ = 49592342016.

The previous prime is 102020110091. The next prime is 102020110147. The reversal of 102020110101 is 101011020201.

It is a happy number.

It is not a de Polignac number, because 102020110101 - 26 = 102020110037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020110001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21300615 + ... + 21305403.

Almost surely, 2102020110101 is an apocalyptic number.

It is an amenable number.

102020110101 is a deficient number, since it is larger than the sum of its proper divisors (94235003499).

102020110101 is a wasteful number, since it uses less digits than its factorization.

102020110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102020110101 its reverse (101011020201), we get a palindrome (203031130302).

It can be divided in two parts, 1020201 and 10101, that multiplied together give a palindrome (10305050301).

The spelling of 102020110101 in words is "one hundred two billion, twenty million, one hundred ten thousand, one hundred one".

Divisors: 1 3 7 9 13 19 21 37 39 57 63 91 111 117 133 171 247 259 273 333 399 481 703 741 777 819 1197 1369 1443 1729 2109 2223 2331 3367 4107 4329 4789 4921 5187 6327 9139 9583 10101 12321 14367 14763 15561 17797 26011 27417 28749 30303 33523 43101 44289 53391 62257 63973 78033 82251 86247 90991 100569 124579 160173 177193 182077 186771 191919 234099 272973 301707 338143 373737 435799 531579 546231 560313 575757 636937 818919 1014429 1121211 1182883 1240351 1307397 1594737 1638693 1910811 2303509 2367001 3043287 3366667 3548649 3721053 3922191 5732433 6556141 6910527 7101003 8280181 10100001 10645947 11163159 16124563 19668423 20731581 21303009 23566669 24840543 30300003 43766671 45892987 48373689 59005269 70700007 74521629 85229833 124566679 131300013 137678961 145121067 212100021 255689499 306366697 373700037 393900039 413036883 596608831 767068497 871966753 919100091 1121100111 1619366827 1789826493 2615900259 2757300273 4858100481 5369479479 7847700777 11335567789 14574301443 34006703367 102020110101