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101211221111110 = 251117971912921339
BaseRepresentation
bin10111000000110100010010…
…111000011011000101000110
3111021100200212000112010220221
4113000310102320123011012
5101231221040101023420
6555131443150414554
730214161260543035
oct2700642270330506
9437320760463827
10101211221111110
112a28148a823110
12b4274b520145a
13446223c3c4666
141adc91372671c
15ba7b09673caa
hex5c0d12e1b146

101211221111110 has 128 divisors (see below), whose sum is σ = 213715325214720. Its totient is φ = 34102531276800.

The previous prime is 101211221111071. The next prime is 101211221111123. The reversal of 101211221111110 is 11111122112101.

It is a super-2 number, since 2×1012112211111102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33184821 + ... + 36106159.

It is an arithmetic number, because the mean of its divisors is an integer number (1669650978240).

Almost surely, 2101211221111110 is an apocalyptic number.

101211221111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101211221111110 is an abundant number, since it is smaller than the sum of its proper divisors (112504104103610).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211221111110 is a wasteful number, since it uses less digits than its factorization.

101211221111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921662.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101211221111110 its reverse (11111122112101), we get a palindrome (112322343223211).

The spelling of 101211221111110 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 10 11 17 22 34 55 85 97 110 170 187 191 194 374 382 485 935 955 970 1067 1649 1870 1910 2101 2134 3247 3298 4202 5335 6494 8245 10505 10670 16235 16490 18139 18527 21010 32470 35717 36278 37054 71434 90695 92635 178585 181390 185270 203797 314959 357170 407594 629918 1018985 1574795 2037970 2921339 3149590 3464549 5842678 6929098 14606695 17322745 29213390 32134729 34645490 49662763 64269458 99325526 160673645 248313815 283369883 321347290 496627630 546290393 557975749 566739766 1092580786 1115951498 1416849415 2731451965 2789878745 2833698830 3117068713 4817288011 5462903930 5579757490 6137733239 6234137426 9485587733 9634576022 12275466478 15585343565 18971175466 24086440055 30688666195 31170687130 47427938665 48172880110 52990168121 54123647653 61377332390 94855877330 104341465063 105980336242 108247295306 208682930126 264950840605 270618238265 521707325315 529901681210 541236476530 595360124183 920102010101 1043414650630 1190720248366 1840204020202 2976800620915 4600510050505 5953601241830 9201020101010 10121122111111 20242244222222 50605610555555 101211221111110