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102000121221 = 3313770941809
BaseRepresentation
bin101111011111110101…
…1100101010110000101
3100202021120020000202110
41132333223211112011
53132344012334341
6114505212331233
710240441503465
oct1367753452605
9322246200673
10102000121221
113a292455849
1217927773b19
139806cca01b
144d1894bba5
1529beb23216
hex17bfae5585

102000121221 has 32 divisors (see below), whose sum is σ = 144388326400. Its totient is φ = 63936138240.

The previous prime is 102000121187. The next prime is 102000121229. The reversal of 102000121221 is 122121000201.

It is not a de Polignac number, because 102000121221 - 29 = 102000120709 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102000121197 and 102000121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000121229) 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 31 ways as a sum of consecutive naturals, for example, 2418765 + ... + 2460573.

It is an arithmetic number, because the mean of its divisors is an integer number (4512135200).

Almost surely, 2102000121221 is an apocalyptic number.

It is an amenable number.

102000121221 is a deficient number, since it is larger than the sum of its proper divisors (42388205179).

102000121221 is a wasteful number, since it uses less digits than its factorization.

102000121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42589.

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

Adding to 102000121221 its reverse (122121000201), we get a palindrome (224121121422).

The spelling of 102000121221 in words is "one hundred two billion, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 31 37 93 111 709 1147 2127 3441 21979 26233 41809 65937 78699 125427 813223 1296079 1546933 2439669 3888237 4640799 29642581 47954923 88927743 143864769 918920011 1096775497 2756760033 3290326491 34000040407 102000121221