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11012121101202 = 23133153223385331
BaseRepresentation
bin1010000000111111010110…
…0100010000001110010010
31102222202012122122102021120
42200033311210100032102
52420410311000214302
635230522032503110
72214412424635644
oct240176544201622
942882178572246
1011012121101202
11356623a304721
12129a2810aaa96
1361b5916a9aa0
142a0dbd2b8894
151416b589b9bc
hexa03f5910392

11012121101202 has 128 divisors (see below), whose sum is σ = 25057406287872. Its totient is φ = 3202739654400.

The previous prime is 11012121101119. The next prime is 11012121101221. The reversal of 11012121101202 is 20210112121011.

It is a happy number.

It is a super-2 number, since 2×110121211012022 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28385677 + ... + 28771007.

It is an arithmetic number, because the mean of its divisors is an integer number (195760986624).

Almost surely, 211012121101202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012121101202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12528703143936).

11012121101202 is an abundant number, since it is smaller than the sum of its proper divisors (14045285186670).

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

11012121101202 is a wasteful number, since it uses less digits than its factorization.

11012121101202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385656.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11012121101202 its reverse (20210112121011), we get a palindrome (31222233222213).

The spelling of 11012121101202 in words is "eleven trillion, twelve billion, one hundred twenty-one million, one hundred one thousand, two hundred two".

Divisors: 1 2 3 6 13 26 31 39 53 62 78 93 106 159 186 223 318 403 446 669 689 806 1209 1338 1378 1643 2067 2418 2899 3286 4134 4929 5798 6913 8697 9858 11819 13826 17394 20739 21359 23638 35457 41478 42718 64077 70914 89869 128154 153647 179738 269607 307294 366389 385331 460941 539214 732778 770662 921882 1099167 1155993 2198334 2311986 4763057 5009303 9526114 10018606 11945261 14289171 15027909 20422543 23890522 28578342 30055818 35835783 40845086 61267629 71671566 85928813 122535258 155288393 171857626 257786439 265493059 310576786 465865179 515572878 530986118 633098833 796479177 931730358 1117074569 1266197666 1592958354 1899296499 2234149138 2663793203 3351223707 3798592998 4554227089 5327586406 6702447414 7991379609 8230284829 9108454178 13662681267 15982759218 16460569658 24690854487 27325362534 34629311639 49381708974 59204952157 69258623278 103887934917 118409904314 141181039759 177614856471 207775869834 282362079518 355229712942 423543119277 847086238554 1835353516867 3670707033734 5506060550601 11012121101202