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102021121321110 = 23454315671869251
BaseRepresentation
bin10111001100100110100100…
…101100100010100010010110
3111101020010100100122122220000
4113030212210230202202112
5101333003224024233420
61000551504530552130
730326532331001055
oct2714464454424226
9441203310578800
10102021121321110
112a563a07334142
12b538463138646
1344c072048c454
141b29bc487639c
15bbdc0bbb1690
hex5cc9a4b22896

102021121321110 has 160 divisors (see below), whose sum is σ = 280882359217152. Its totient is φ = 26555971176000.

The previous prime is 102021121321081. The next prime is 102021121321111. The reversal of 102021121321110 is 11123121120201.

It is a happy number.

102021121321110 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 211 + 21 + 321 + 110 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021121321111) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53643985 + ... + 55513235.

Almost surely, 2102021121321110 is an apocalyptic number.

102021121321110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021121321110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140441179608576).

102021121321110 is an abundant number, since it is smaller than the sum of its proper divisors (178861237896042).

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

102021121321110 is a wasteful number, since it uses less digits than its factorization.

102021121321110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870880 (or 1870871 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102021121321110 its reverse (11123121120201), we get a palindrome (113144242441311).

The spelling of 102021121321110 in words is "one hundred two trillion, twenty-one billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 387 405 430 645 774 810 1161 1290 1567 1935 2322 3134 3483 3870 4701 5805 6966 7835 9402 11610 14103 15670 17415 23505 28206 34830 42309 47010 67381 70515 84618 126927 134762 141030 202143 211545 253854 336905 404286 423090 606429 634635 673810 1010715 1212858 1269270 1819287 1869251 2021430 3032145 3638574 3738502 5457861 5607753 6064290 9096435 9346255 10915722 11215506 16823259 18192870 18692510 27289305 28038765 33646518 50469777 54578610 56077530 80377793 84116295 100939554 151409331 160755586 168232590 241133379 252348885 302818662 401888965 482266758 504697770 723400137 757046655 803777930 1205666895 1446800274 1514093310 2170200411 2411333790 2929116317 3617000685 4340400822 5858232634 6510601233 7234001370 8787348951 10851002055 13021202466 14645581585 17574697902 21702004110 26362046853 29291163170 32553006165 43936744755 52724093706 65106012330 79086140559 87873489510 125952001631 131810234265 158172281118 237258421677 251904003262 263620468530 377856004893 395430702795 474516843354 629760008155 755712009786 790861405590 1133568014679 1186292108385 1259520016310 1889280024465 2267136029358 2372584216770 3400704044037 3778560048930 5667840073395 6801408088074 10202112132111 11335680146790 17003520220185 20404224264222 34007040440370 51010560660555 102021121321110