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21012110102100 = 223521312421433759
BaseRepresentation
bin1001100011100010000110…
…10110111100111001010100
32202101201221002011212011210
410301301003112330321110
510223230300141231400
6112404455150101420
74266034450653015
oct461610326747124
982351832155153
1021012110102100
116771205405977
1224343551aa870
13b95583483a60
14528dc4b8300c
1526688e86a950
hex131c435bce54

21012110102100 has 144 divisors (see below), whose sum is σ = 65477001981440. Its totient is φ = 5171783385600.

The previous prime is 21012110102099. The next prime is 21012110102107. The reversal of 21012110102100 is 120101121012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012110102107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48225021 + ... + 48658779.

Almost surely, 221012110102100 is an apocalyptic number.

21012110102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21012110102100 is an abundant number, since it is smaller than the sum of its proper divisors (44464891879340).

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

21012110102100 is a wasteful number, since it uses less digits than its factorization.

21012110102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446210 (or 446203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21012110102100 its reverse (120101121012), we get a palindrome (21132211223112).

The spelling of 21012110102100 in words is "twenty-one trillion, twelve billion, one hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 12421 24842 37263 49684 62105 74526 124210 149052 161473 186315 248420 310525 322946 372630 433759 484419 621050 645892 745260 807365 867518 931575 968838 1242100 1301277 1614730 1735036 1863150 1937676 2168795 2422095 2602554 3229460 3726300 4036825 4337590 4844190 5205108 5638867 6506385 8073650 8675180 9688380 10843975 11277734 12110475 13012770 16147300 16916601 21687950 22555468 24220950 26025540 28194335 32531925 33833202 43375900 48441900 56388670 65063850 67666404 84583005 112777340 130127700 140971675 169166010 281943350 338332020 422915025 563886700 845830050 1691660100 5387720539 10775441078 16163161617 21550882156 26938602695 32326323234 53877205390 64652646468 70040367007 80815808085 107754410780 134693013475 140080734014 161631616170 210121101021 269386026950 280161468028 323263232340 350201835035 404079040425 420242202042 538772053900 700403670070 808158080850 840484404084 1050605505105 1400807340140 1616316161700 1751009175175 2101211010210 3502018350350 4202422020420 5253027525525 7004036700700 10506055051050 21012110102100