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21212100110001 = 3193137973344827
BaseRepresentation
bin1001101001010110100111…
…01100010010011010110001
32210002212010201122220002110
410310223103230102122301
510240014340112010001
6113040412042035533
74316344420662363
oct464532354223261
983085121586073
1021212100110001
116839001571939
1224670694a8ba9
13bab3a56b4b38
145349577c2d33
1526bb96eb93d6
hex134ad3b126b1

21212100110001 has 64 divisors (see below), whose sum is σ = 31887717048320. Its totient is φ = 12484496148480.

The previous prime is 21212100109957. The next prime is 21212100110017. The reversal of 21212100110001 is 10001100121212.

It is not a de Polignac number, because 21212100110001 - 27 = 21212100109873 is a prime.

It is a super-3 number, since 3×212121001100013 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21212100110501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4669350 + ... + 8014176.

It is an arithmetic number, because the mean of its divisors is an integer number (498245578880).

Almost surely, 221212100110001 is an apocalyptic number.

It is an amenable number.

21212100110001 is a deficient number, since it is larger than the sum of its proper divisors (10675616938319).

21212100110001 is a wasteful number, since it uses less digits than its factorization.

21212100110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345014.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21212100110001 its reverse (10001100121212), we get a palindrome (31213200231213).

The spelling of 21212100110001 in words is "twenty-one trillion, two hundred twelve billion, one hundred million, one hundred ten thousand, one".

Divisors: 1 3 19 31 37 57 93 97 111 291 589 703 1147 1767 1843 2109 3007 3441 3589 5529 9021 10767 21793 57133 65379 68191 111259 171399 204573 333777 2113921 3344827 6341763 10034481 63551713 103689637 123758599 190655139 311068911 324448219 371275797 973344657 1970103103 2351413381 3836516569 5910309309 6164516161 7054240143 10057894789 11509549707 12004584103 18493548483 30173684367 36013752309 72893814811 191100000991 218681444433 228087097957 372142107193 573300002973 684261293871 1116426321579 7070700036667 21212100110001