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102021120201 = 371113371019091
BaseRepresentation
bin101111100000011101…
…1101100000011001001
3100202100000201212221110
41133000323230003021
53132414401321301
6114511242400533
710241115133140
oct1370073540311
9322300655843
10102021120201
113a2a3298680
1217932800149
13980b470060
144d1b656757
1529c18c00d6
hex17c0eec0c9

102021120201 has 128 divisors (see below), whose sum is σ = 189453422592. Its totient is φ = 47122560000.

The previous prime is 102021120181. The next prime is 102021120203.

102021120201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102021120201 - 215 = 102021087433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102021120203) 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, 11217666 + ... + 11226756.

It is an arithmetic number, because the mean of its divisors is an integer number (1480104864).

Almost surely, 2102021120201 is an apocalyptic number.

102021120201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102021120201 is a deficient number, since it is larger than the sum of its proper divisors (87432302391).

102021120201 is a wasteful number, since it uses less digits than its factorization.

102021120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 102021 and 120201, that added together give a palindrome (222222).

The spelling of 102021120201 in words is "one hundred two billion, twenty-one million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 101 111 143 231 259 273 303 407 429 481 707 777 1001 1111 1221 1313 1443 2121 2849 3003 3333 3367 3737 3939 5291 7777 8547 9091 9191 10101 11211 14443 15873 23331 26159 27273 27573 37037 41107 43329 48581 63637 78477 100001 101101 111111 118183 123321 145743 190911 287749 300003 303303 336367 340067 354549 534391 700007 827281 863247 918191 1009101 1020201 1300013 1603173 2100021 2354569 2481843 2754573 3700037 3740737 3900039 4372771 6427337 7063707 9100091 10100101 11100111 11222211 11936483 13118313 19282011 25900259 27300273 30300303 30609397 33973067 35809449 48100481 70700707 77700777 83555381 91828191 101919201 131301313 144301443 212102121 237811469 250666143 336703367 373703737 393903939 441649871 713434407 919109191 1010110101 1121111211 1324949613 2615926159 2757327573 3091549097 4858148581 7847778477 9274647291 14574445743 34007040067 102021120201