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10011201212221 = 112194799419661
BaseRepresentation
bin1001000110101110101000…
…0101111000111100111101
31022110001122211021210100021
42101223222011320330331
52303010420002242341
633143025441532141
72052166620153556
oct221535205707475
938401584253307
1010011201212221
11320a7aa102600
1211582a3044051
1357808a972b51
1426878aa1932d
151256334ca9d1
hex91aea178f3d

10011201212221 has 48 divisors (see below), whose sum is σ = 11620927987200. Its totient is φ = 8594053776000.

The previous prime is 10011201212213. The next prime is 10011201212227. The reversal of 10011201212221 is 12221210211001.

It is not a de Polignac number, because 10011201212221 - 23 = 10011201212213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011201212195 and 10011201212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011201212227) 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, 1036244131 + ... + 1036253791.

It is an arithmetic number, because the mean of its divisors is an integer number (242102666400).

Almost surely, 210011201212221 is an apocalyptic number.

10011201212221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011201212221 is a deficient number, since it is larger than the sum of its proper divisors (1609726774979).

10011201212221 is a wasteful number, since it uses less digits than its factorization.

10011201212221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122 (or 11111 counting only the distinct ones).

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

Adding to 10011201212221 its reverse (12221210211001), we get a palindrome (22232411423222).

The spelling of 10011201212221 in words is "ten trillion, eleven billion, two hundred one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 19 121 209 479 941 2299 5269 9101 9661 10351 17879 57959 100111 106271 113861 183559 196669 450739 1101221 1168981 2019149 2163359 4627619 4958129 8564041 9091001 22210639 50903809 54539419 87924761 94204451 100001011 172729019 559941899 967172371 1036248961 1100011121 1900019209 4354589479 10638896081 20900211299 47900484269 82737200101 526905326959 910109201111 10011201212221