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10021111022221 = 1323536110995107
BaseRepresentation
bin1001000111010011100011…
…0000110100001010001101
31022111000020110100022001021
42101310320300310022031
52303141213410202341
633151345043314141
72053000321152115
oct221647060641215
938430213308037
1010021111022221
113213a24a16522
12115a1a997b951
13578ca9a72a50
1426904abc2045
15125a134c09d1
hex91d38c3428d

10021111022221 has 64 divisors (see below), whose sum is σ = 11768861744640. Its totient is φ = 8460386288640.

The previous prime is 10021111022203. The next prime is 10021111022231. The reversal of 10021111022221 is 12222011112001.

It is not a de Polignac number, because 10021111022221 - 25 = 10021111022189 is a prime.

It is a super-2 number, since 2×100211110222212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10021111022195 and 10021111022204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021111022231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105319150 + ... + 105414256.

It is an arithmetic number, because the mean of its divisors is an integer number (183888464760).

Almost surely, 210021111022221 is an apocalyptic number.

It is an amenable number.

10021111022221 is a deficient number, since it is larger than the sum of its proper divisors (1747750722419).

10021111022221 is a wasteful number, since it uses less digits than its factorization.

10021111022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95366.

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

Adding to 10021111022221 its reverse (12222011112001), we get a palindrome (22243122134222).

The spelling of 10021111022221 in words is "ten trillion, twenty-one billion, one hundred eleven million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 13 23 53 61 109 299 689 793 1219 1403 1417 2507 3233 5777 6649 15847 18239 32591 42029 74359 75101 86437 95107 132871 152927 352397 966667 1236391 1727323 1988051 2187461 4581161 5040671 5801527 8105131 10366663 28436993 65528723 75419851 105366703 115935433 133435121 134766619 238433249 307480931 549433139 632366443 1507160629 1734656573 3099632237 3997252103 7072061413 7142630807 8220763759 12636962197 14544428189 33515421479 91936798369 164280508561 189077566457 435700479227 770854694017 10021111022221