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101100221210220 = 223583112318077693
BaseRepresentation
bin10110111111001100111010…
…110001011001111001101100
3111020222002100020121221101120
4112333030322301121321230
5101222411223112211340
6555004444521340540
730203151505133451
oct2677147261317154
9436862306557346
10101100221210220
112a2393aa217731
12b409a97637750
13445492c9c372b
141ad73c381d828
15ba4cae8b94d0
hex5bf33ac59e6c

101100221210220 has 96 divisors (see below), whose sum is σ = 286746357526272. Its totient is φ = 26611519596288.

The previous prime is 101100221210141. The next prime is 101100221210251. The reversal of 101100221210220 is 22012122001101.

101100221210220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011002212102202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101100221210220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3446307 + ... + 14631386.

It is an arithmetic number, because the mean of its divisors is an integer number (2986941224232).

Almost surely, 2101100221210220 is an apocalyptic number.

101100221210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100221210220 is an abundant number, since it is smaller than the sum of its proper divisors (185646136316052).

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

101100221210220 is a wasteful number, since it uses less digits than its factorization.

101100221210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18078911 (or 18078909 counting only the distinct ones).

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

Adding to 101100221210220 its reverse (22012122001101), we get a palindrome (123112343211321).

The spelling of 101100221210220 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1123 1245 1660 2246 2490 3369 4492 4980 5615 6738 11230 13476 16845 22460 33690 67380 93209 186418 279627 372836 466045 559254 932090 1118508 1398135 1864180 2796270 5592540 18077693 36155386 54233079 72310772 90388465 108466158 180776930 216932316 271165395 361553860 542330790 1084661580 1500448519 3000897038 4501345557 6001794076 7502242595 9002691114 15004485190 18005382228 20301249239 22506727785 30008970380 40602498478 45013455570 60903747717 81204996956 90026911140 101506246195 121807495434 203012492390 243614990868 304518738585 406024984780 609037477170 1218074954340 1685003686837 3370007373674 5055011060511 6740014747348 8425018434185 10110022121022 16850036868370 20220044242044 25275055302555 33700073736740 50550110605110 101100221210220