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221100200212101 = 37317112738996827
BaseRepresentation
bin110010010001011011100110…
…111001001011011010000101
31001222211222021002220011022220
4302101123212321023122011
5212440001202223241401
62102124010232242553
764366651035003630
oct6221334671133205
91058758232804286
10221100200212101
11644a4082a49721
122096a849840459
13964a87597a882
143c85441b84c17
151a864cc273336
hexc916e6e4b685

221100200212101 has 128 divisors (see below), whose sum is σ = 356375624417280. Its totient is φ = 119287463097600.

The previous prime is 221100200212097. The next prime is 221100200212109. The reversal of 221100200212101 is 101212002001122.

221100200212101 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 221100200212101 - 22 = 221100200212097 is a prime.

It is a super-2 number, since 2×2211002002121012 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221100200212109) 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, 2283407650 + ... + 2283504476.

It is an arithmetic number, because the mean of its divisors is an integer number (2784184565760).

Almost surely, 2221100200212101 is an apocalyptic number.

221100200212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221100200212101 is a deficient number, since it is larger than the sum of its proper divisors (135275424205179).

221100200212101 is a wasteful number, since it uses less digits than its factorization.

221100200212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97455.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221100200212101 its reverse (101212002001122), we get a palindrome (322312202213223).

The spelling of 221100200212101 in words is "two hundred twenty-one trillion, one hundred billion, two hundred million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 7 21 31 71 93 127 213 217 381 389 497 651 889 1167 1491 2201 2667 2723 3937 6603 8169 9017 11811 12059 15407 27051 27559 27619 36177 46221 49403 63119 82677 82857 84413 96827 148209 189357 193333 253239 279527 290481 345821 579999 677789 838581 856189 1037463 1531493 1956689 2033367 2568567 3001637 3507613 4594479 5870067 5993323 6874717 9004911 10522839 10720451 12297029 17979969 20624151 21011459 24553291 32161353 36891087 37665703 48123019 63034377 73659873 86079203 108736003 112997109 144369057 213116227 258237609 263659921 326208009 381207899 639348681 761152021 790979763 873089059 1143623697 1167636793 1491813589 2283456063 2619267177 2668455293 2674264913 3502910379 4475440767 4783544281 6111623413 8005365879 8022794739 8173457551 14350632843 18334870239 18719854391 24520372653 27065760829 33484809967 56159563173 81197282487 82902212303 100454429901 148289872711 189460325803 248706636909 339631643951 444869618133 568380977409 580315486121 1018894931853 1038029108977 1740946458363 2377421507657 3114087326931 7132264522971 10528580962481 31585742887443 73700066737367 221100200212101