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10221202012021 = 72112131017011873
BaseRepresentation
bin1001010010111100111100…
…0111010111011101110101
31100012010201010211202002021
42110233033013113131311
52314431010203341041
633423315543513141
72103312625413400
oct224571707273565
940163633752067
1010221202012021
113290873084700
121190b2ba587b1
13591b16b9c530
142749ccdcad37
1512ad24919cd1
hex94bcf1d7775

10221202012021 has 144 divisors (see below), whose sum is σ = 14241685886064. Its totient is φ = 7264857600000.

The previous prime is 10221202012013. The next prime is 10221202012061. The reversal of 10221202012021 is 12021020212201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1121915025 + 10220080096996 = 33495^2 + 3196886^2 .

It is not a de Polignac number, because 10221202012021 - 23 = 10221202012013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221202011986 and 10221202012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221202012001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5457127741 + ... + 5457129613.

It is an arithmetic number, because the mean of its divisors is an integer number (98900596431).

Almost surely, 210221202012021 is an apocalyptic number.

10221202012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221202012021 is a deficient number, since it is larger than the sum of its proper divisors (4020483874043).

10221202012021 is a wasteful number, since it uses less digits than its factorization.

10221202012021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221202012021 its reverse (12021020212201), we get a palindrome (22242222224222).

The spelling of 10221202012021 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, twelve thousand, twenty-one".

Divisors: 1 7 11 13 49 77 91 101 121 143 539 637 701 707 847 1001 1111 1313 1573 1873 4907 4949 5929 7007 7711 7777 9113 9191 11011 12221 13111 14443 20603 24349 34349 53977 54439 63791 64337 70801 77077 84821 85547 91777 100243 101101 144221 158873 170443 189173 226633 267839 377839 446537 495607 593747 598829 701701 707707 778811 920413 1009547 1102673 1112111 1193101 1312973 1324211 1586431 1874873 2080903 2459249 2946229 3469249 4156229 4911907 5451677 6442891 7718711 7784777 8566921 9190811 9269477 10124543 11105017 13124111 14442703 14566321 17068649 17214743 20623603 22889933 27051739 38161739 45100237 54030977 59968447 64335677 70871801 101098921 101964247 111369973 119480543 120503201 132610273 144365221 158869733 160229531 187755139 189362173 297569129 419779129 496102607 707692447 779589811 836363801 928271911 1112088131 1121606717 1314285973 1325535211 1458713003 1723933549 2065306529 2082983903 5457128677 6497903377 7784616917 9200001811 10210991021 12067534843 14457145703 14580887321 16045843033 18963269039 71476937147 84472743901 101200019921 112320901231 132742883273 208595959429 786246308617 929200182911 1460171716003 10221202012021