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10021221122110 = 251110112723929717
BaseRepresentation
bin1001000111010011111101…
…0100110100000000111110
31022111000112010111221200221
42101310333110310000332
52303141430101401420
633151404015211554
72053003126041052
oct221647724640076
938430463457627
1010021221122110
113213a81086170
12115a21a816bba
13578cc6811703
1426905b681c62
15125a1cebccaa
hex91d3f53403e

10021221122110 has 128 divisors (see below), whose sum is σ = 20113827102720. Its totient is φ = 3564493632000.

The previous prime is 10021221122053. The next prime is 10021221122111. The reversal of 10021221122110 is 1122112212001.

10021221122110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021221122111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337206972 + ... + 337236688.

It is an arithmetic number, because the mean of its divisors is an integer number (157139274240).

Almost surely, 210021221122110 is an apocalyptic number.

10021221122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021221122110 is an abundant number, since it is smaller than the sum of its proper divisors (10092605980610).

10021221122110 is a wasteful number, since it uses less digits than its factorization.

10021221122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30202.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10021221122110 its reverse (1122112212001), we get a palindrome (11143333334111).

The spelling of 10021221122110 in words is "ten trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 101 110 127 202 239 254 478 505 635 1010 1111 1195 1270 1397 2222 2390 2629 2794 5258 5555 6985 11110 12827 13145 13970 24139 25654 26290 29717 30353 48278 59434 60706 64135 120695 128270 141097 148585 151765 241390 265529 282194 297170 303530 326887 333883 531058 653774 667766 705485 1327645 1410970 1634435 1669415 2655290 3001417 3065653 3268870 3338830 3774059 6002834 6131306 7102363 7548118 14204726 15007085 15328265 18870295 30014170 30656530 33015587 33722183 35511815 37740590 41514649 66031174 67444366 71023630 78125993 83029298 156251986 165077935 168610915 207573245 330155870 337221830 381179959 390629965 415146490 717338663 762359918 781259930 902000101 1434677326 1804000202 1905899795 3586693315 3811799590 4192979549 4510000505 7173386630 7890725293 8385959098 9020001010 9922001111 15781450586 19844002222 20964897745 39453626465 41929795490 49610005555 78907252930 91102010201 99220011110 182204020402 455510051005 911020102010 1002122112211 2004244224422 5010610561055 10021221122110