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21221012101122 = 23271117126775297
BaseRepresentation
bin1001101001100111001101…
…11000110101100000000010
32210010201010211010221121200
410310303212320311200002
510240141113044213442
6113044444241002030
74320111314442651
oct464634670654002
983121124127550
1021221012101122
116841865111759
122468936023316
13bac195b5c572
14535161249198
1526c0195ae34c
hex134ce6e35802

21221012101122 has 96 divisors (see below), whose sum is σ = 46692512290944. Its totient is φ = 6964167974400.

The previous prime is 21221012101111. The next prime is 21221012101129. The reversal of 21221012101122 is 22110121012212.

21221012101122 is a `hidden beast` number, since 212 + 210 + 1 + 210 + 11 + 22 = 666.

It is a super-2 number, since 2×212210121011222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21221012101095 and 21221012101104.

It is not an unprimeable number, because it can be changed into a prime (21221012101129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4006229578 + ... + 4006234874.

It is an arithmetic number, because the mean of its divisors is an integer number (486380336364).

Almost surely, 221221012101122 is an apocalyptic number.

21221012101122 is an abundant number, since it is smaller than the sum of its proper divisors (25471500189822).

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

21221012101122 is a wasteful number, since it uses less digits than its factorization.

21221012101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21221012101122 its reverse (22110121012212), we get a palindrome (43331133113334).

The spelling of 21221012101122 in words is "twenty-one trillion, two hundred twenty-one billion, twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1171 1278 2342 2677 3513 5297 5354 7026 8031 10539 10594 15891 16062 21078 24093 31782 47673 48186 83141 95346 166282 190067 249423 376087 380134 498846 570201 748269 752174 1128261 1140402 1496538 1710603 2256522 3134767 3384783 3421206 6202787 6269534 6769566 9404301 12405574 14180069 18608361 18808602 28212903 28360138 37216722 42540207 55825083 56425806 85080414 111650166 127620621 222568457 255241242 440397877 445136914 667705371 880795754 1006784899 1321193631 1335410742 2003116113 2013569798 2642387262 3020354697 3963580893 4006232226 6040709394 7927161786 9061064091 16604860799 18122128182 33209721598 49814582397 99629164794 149443747191 298887494382 1178945116729 2357890233458 3536835350187 7073670700374 10610506050561 21221012101122