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21221012000100 = 22352116430609697
BaseRepresentation
bin1001101001100111001101…
…11000011100110101100100
32210010201010210221211001010
410310303212320130311210
510240141113033000400
6113044444234502220
74320111313542303
oct464634670346544
983121123854033
1021221012000100
116841865052870
122468935b94970
13bac195b255a3
1453516122043a
1526c01958e450
hex134ce6e1cd64

21221012000100 has 72 divisors (see below), whose sum is σ = 66981230614368. Its totient is φ = 5144487756800.

The previous prime is 21221012000059. The next prime is 21221012000119. The reversal of 21221012000100 is 100021012212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3215301549 + ... + 3215308148.

It is an arithmetic number, because the mean of its divisors is an integer number (930294869644).

Almost surely, 221221012000100 is an apocalyptic number.

21221012000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221012000100 is an abundant number, since it is smaller than the sum of its proper divisors (45760218614268).

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

21221012000100 is a wasteful number, since it uses less digits than its factorization.

21221012000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430609725 (or 6430609718 counting only the distinct ones).

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

Adding to 21221012000100 its reverse (100021012212), we get a palindrome (21321033012312).

The spelling of 21221012000100 in words is "twenty-one trillion, two hundred twenty-one billion, twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6430609697 12861219394 19291829091 25722438788 32153048485 38583658182 64306096970 70736706667 77167316364 96459145455 128612193940 141473413334 160765242425 192918290910 212210120001 282946826668 321530484850 353683533335 385836581820 424420240002 482295727275 643060969700 707367066670 848840480004 964591454550 1061050600005 1414734133340 1768417666675 1929182909100 2122101200010 3536835333350 4244202400020 5305253000025 7073670666700 10610506000050 21221012000100