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11012200102101 = 31123532716431571
BaseRepresentation
bin1010000000111111101001…
…0001100111100011010101
31102222202102011022002010210
42200033322101213203111
52420410441211231401
635230533534040033
72214414404301162
oct240177221474325
942882364262123
1011012200102101
11356627a963220
12129a2a3649019
1361b5a4b7a493
142a0dc99a1069
151416bc7a44d6
hexa03fa4678d5

11012200102101 has 128 divisors (see below), whose sum is σ = 17129849683968. Its totient is φ = 6226650144000.

The previous prime is 11012200102097. The next prime is 11012200102109. The reversal of 11012200102101 is 10120100221011.

11012200102101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11012200102101 - 22 = 11012200102097 is a prime.

It is a super-2 number, since 2×110122001021012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012200102109) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7009674646 + ... + 7009676216.

It is an arithmetic number, because the mean of its divisors is an integer number (133826950656).

Almost surely, 211012200102101 is an apocalyptic number.

11012200102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012200102101 is a deficient number, since it is larger than the sum of its proper divisors (6117649581867).

11012200102101 is a wasteful number, since it uses less digits than its factorization.

11012200102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575.

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

Adding to 11012200102101 its reverse (10120100221011), we get a palindrome (21132300323112).

The spelling of 11012200102101 in words is "eleven trillion, twelve billion, two hundred million, one hundred two thousand, one hundred one".

Divisors: 1 3 11 23 33 53 69 159 253 271 583 643 759 813 1219 1571 1749 1929 2981 3657 4713 6233 7073 8943 13409 14363 14789 17281 18699 21219 34079 36133 40227 43089 44367 51843 68563 83263 102237 108399 157993 162679 174253 205689 249789 330349 374869 397463 425741 473979 488037 522759 783817 915893 991047 1010153 1124607 1192389 1277223 1915049 1916783 2351451 2747679 3030459 3633839 4007819 4683151 5745147 5750349 8621987 9235409 9792043 10901517 11111683 12023457 14049453 21065539 22564273 23233519 25865961 27706227 29376129 33335049 44086009 53538109 63196617 67692819 69700557 101589499 107712473 132258027 160614327 212414407 248207003 255568709 273751463 304768497 323137419 518978279 588919199 637243221 744621009 766706127 821254389 1231376507 1556934837 1766757597 2336558477 3011266093 3694129521 5708761069 6296283649 7009675431 9033798279 13545141577 14508827539 17126283207 18888850947 40635424731 43526482617 69259120139 159597102929 207777360417 333703033397 478791308787 1001109100191 3670733367367 11012200102101