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1221010220001 = 3111311339196427
BaseRepresentation
bin10001110001001001111…
…000010110001111100001
311022201122022010212112210
4101301021320112033201
5130001112104020001
62332531354312333
7154133525424525
oct21611170261741
94281568125483
101221010220001
1143091148a380
12178781a286a9
138b1aa36a550
1443150a5bd85
1521b644a5dd6
hex11c49e163e1

1221010220001 has 64 divisors (see below), whose sum is σ = 1930349998080. Its totient is φ = 676759587840.

The previous prime is 1221010219921. The next prime is 1221010220063. The reversal of 1221010220001 is 1000220101221.

It is not a de Polignac number, because 1221010220001 - 210 = 1221010218977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1221010220071) 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, 189978150 + ... + 189984576.

It is an arithmetic number, because the mean of its divisors is an integer number (30161718720).

Almost surely, 21221010220001 is an apocalyptic number.

1221010220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221010220001 is a deficient number, since it is larger than the sum of its proper divisors (709339778079).

1221010220001 is a wasteful number, since it uses less digits than its factorization.

1221010220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1221010220001 its reverse (1000220101221), we get a palindrome (2221230321222).

The spelling of 1221010220001 in words is "one trillion, two hundred twenty-one billion, ten million, two hundred twenty thousand, one".

Divisors: 1 3 11 13 33 39 113 143 339 429 1243 1469 3729 3919 4407 6427 11757 16159 19281 43109 48477 50947 70697 83551 129327 152841 212091 250653 442847 560417 726251 919061 1328541 1681251 2178753 2757183 4871317 5757011 7988761 9441263 14613951 17271033 23966283 25187413 28323789 63327121 75562239 103853893 189981363 277061543 311561679 327436369 831184629 982309107 2846177669 3601800059 8538533007 10805400177 31307954359 37000309697 93923863077 111000929091 407003406667 1221010220001