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21222121220100 = 223252163144663403
BaseRepresentation
bin1001101001101001010001…
…11111110010100000000100
32210010211000010011000211100
410310310220333302200010
510240200401013020400
6113045150301140100
74320150643005663
oct464645077624004
983124003130740
1021222121220100
116842284195209
122468ba555a630
13bac311883a98
1453522867cdda
1526c081b47100
hex134d28ff2804

21222121220100 has 108 divisors (see below), whose sum is σ = 66927655880176. Its totient is φ = 5624513069760.

The previous prime is 21222121220081. The next prime is 21222121220101. The reversal of 21222121220100 is 102212122212.

It is a happy number.

21222121220100 is a `hidden beast` number, since 2 + 1 + 222 + 121 + 220 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21222121220101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72185002 + ... + 72478401.

Almost surely, 221222121220100 is an apocalyptic number.

21222121220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222121220100 is an abundant number, since it is smaller than the sum of its proper divisors (45705534660076).

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

21222121220100 is a wasteful number, since it uses less digits than its factorization.

21222121220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144663586 (or 144663576 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222121220100 its reverse (102212122212), we get a palindrome (21324333342312).

The spelling of 21222121220100 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 163 180 225 300 326 450 489 652 815 900 978 1467 1630 1956 2445 2934 3260 4075 4890 5868 7335 8150 9780 12225 14670 16300 24450 29340 36675 48900 73350 146700 144663403 289326806 433990209 578653612 723317015 867980418 1301970627 1446634030 1735960836 2169951045 2603941254 2893268060 3616585075 4339902090 5207882508 6509853135 7233170150 8679804180 10849755225 13019706270 14466340300 21699510450 23580134689 26039412540 32549265675 43399020900 47160269378 65098531350 70740404067 94320538756 117900673445 130197062700 141480808134 212221212201 235801346890 282961616268 353702020335 424442424402 471602693780 589503367225 707404040670 848884848804 1061106061005 1179006734450 1414808081340 1768510101675 2122212122010 2358013468900 3537020203350 4244424244020 5305530305025 7074040406700 10611060610050 21222121220100