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20010100100221 = 7112477310366851
BaseRepresentation
bin1001000110010111101101…
…11010001000110001111101
32121211221120021120202110201
410203023312322020301331
510110321141111201341
6110320302454203501
74133452635324130
oct443136672106175
977757507522421
1020010100100221
116415265931900
1222b2112053591
13b21c3794b4ba
144d26cb7da217
1524a796918331
hex1232f6e88c7d

20010100100221 has 96 divisors (see below), whose sum is σ = 26276186087424. Its totient is φ = 14905132704000.

The previous prime is 20010100100189. The next prime is 20010100100227. The reversal of 20010100100221 is 12200100101002.

It is not a de Polignac number, because 20010100100221 - 25 = 20010100100189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20010100100198 and 20010100100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010100100227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299290446 + ... + 299357296.

It is an arithmetic number, because the mean of its divisors is an integer number (273710271744).

Almost surely, 220010100100221 is an apocalyptic number.

It is an amenable number.

20010100100221 is a deficient number, since it is larger than the sum of its proper divisors (6266085987203).

20010100100221 is a wasteful number, since it uses less digits than its factorization.

20010100100221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67103 (or 67092 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20010100100221 its reverse (12200100101002), we get a palindrome (32210200201223).

The spelling of 20010100100221 in words is "twenty trillion, ten billion, one hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 7 11 47 73 77 103 121 329 511 517 721 803 847 1133 3431 3619 4841 5621 5687 7519 7931 8833 12463 24017 33887 37741 39809 52633 53251 61831 66851 82709 87241 264187 353393 372757 415151 467957 578963 585761 735361 909799 2473751 2906057 3141997 3887323 4100327 4880123 5147527 6368593 6885653 8088971 21993979 27211261 34160861 34561967 42760553 48199571 53681353 56622797 75742183 229365781 241933769 299323871 323625691 375769471 380181637 502652669 530195281 590494883 833164013 1605560467 2265379837 2523023591 2661271459 3518568683 3559882601 4133464181 5529179359 5832148091 17661165137 23624675443 24919178207 27753259501 38704255513 39158708611 60820972949 165372728101 194272816507 259871429873 274110960277 425746810643 1819100009111 2858585728603 20010100100221