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121021210002 = 2371117101152563
BaseRepresentation
bin111000010110101101…
…1010001110110010010
3102120101011202110021010
41300231123101312102
53440322412210002
6131332452311350
711513006212020
oct1605533216622
9376334673233
10121021210002
1147363355330
121b555912556
13b54893c644
145c00c15710
15323497646c
hex1c2d6d1d92

121021210002 has 128 divisors (see below), whose sum is σ = 322683844608. Its totient is φ = 29291904000.

The previous prime is 121021209943. The next prime is 121021210073. The reversal of 121021210002 is 200012120121.

It is a super-4 number, since 4×1210212100024 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 121021210002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 716973 + ... + 869535.

It is an arithmetic number, because the mean of its divisors is an integer number (2520967536).

Almost surely, 2121021210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161341922304).

121021210002 is an abundant number, since it is smaller than the sum of its proper divisors (201662634606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121021210002 is a wasteful number, since it uses less digits than its factorization.

121021210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152704.

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

Adding to 121021210002 its reverse (200012120121), we get a palindrome (321033330123).

It can be divided in two parts, 1210 and 21210002, that added together give a palindrome (21211212).

The spelling of 121021210002 in words is "one hundred twenty-one billion, twenty-one million, two hundred ten thousand, two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 101 102 119 154 187 202 231 238 303 357 374 462 561 606 707 714 1111 1122 1309 1414 1717 2121 2222 2618 3333 3434 3927 4242 5151 6666 7777 7854 10302 12019 15554 18887 23331 24038 36057 37774 46662 56661 72114 113322 132209 152563 264418 305126 396627 457689 793254 915378 1067941 1678193 2135882 2593571 3203823 3356386 5034579 5187142 6407646 7780713 10069158 11747351 15408863 15561426 18154997 23494702 28529281 30817726 35242053 36309994 46226589 54464991 57058562 70484106 85587843 92453178 107862041 108929982 169497493 171175686 199704967 215724082 261950671 323586123 338994986 399409934 508492479 523901342 599114901 647172246 785852013 1016984958 1186482451 1198229802 1571704026 1833654697 2372964902 2881457381 3559447353 3667309394 5500964091 5762914762 7118894706 8644372143 11001928182 17288744286 20170201667 40340403334 60510605001 121021210002