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102021201202221 = 32729555011006123
BaseRepresentation
bin10111001100100110101001…
…011101010000110000101101
3111101020010112220222001011200
4113030212221131100300231
5101333003410001432341
61000551520503040113
730326534320660440
oct2714465135206055
9441203486861150
10102021201202221
112a563a48433a94
12b538485a40039
1344c0733baa692
141b29bd130b657
15bbdc13bdedb6
hex5cc9a9750c2d

102021201202221 has 48 divisors (see below), whose sum is σ = 174226710053760. Its totient is φ = 56286489168000.

The previous prime is 102021201202199. The next prime is 102021201202289. The reversal of 102021201202221 is 122202102120201.

It is a happy number.

102021201202221 is a `hidden beast` number, since 1 + 0 + 20 + 21 + 201 + 202 + 221 = 666.

It is not a de Polignac number, because 102021201202221 - 29 = 102021201201709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102021201202194 and 102021201202203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021201202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100897266 + ... + 101903388.

It is an arithmetic number, because the mean of its divisors is an integer number (3629723126120).

Almost surely, 2102021201202221 is an apocalyptic number.

It is an amenable number.

102021201202221 is a deficient number, since it is larger than the sum of its proper divisors (72205508851539).

102021201202221 is a wasteful number, since it uses less digits than its factorization.

102021201202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061666 (or 1061663 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102021201202221 its reverse (122202102120201), we get a palindrome (224223303322422).

The spelling of 102021201202221 in words is "one hundred two trillion, twenty-one billion, two hundred one million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 55501 166503 388507 499509 1006123 1165521 1609529 3018369 3496563 4828587 7042861 9055107 11266703 14485761 21128583 29177567 33800109 63385749 87532701 101400327 204242969 262598103 612728907 1838186721 55840832623 167522497869 390885828361 502567493607 1172657485083 1619384146067 3517972455249 4858152438201 11335689022469 14574457314603 34007067067407 102021201202221