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201221022102012 = 2232114710811359451
BaseRepresentation
bin101101110000001001101011…
…100010110011000111111100
3222101110112122000010121011200
4231300021223202303013330
5202333301123124231022
61551543354510415500
760245511340040643
oct5560115342630774
9871415560117150
10201221022102012
115912a3a1178870
121a699b95201590
1388380a3c297b3
14379921409635a
15183e3495e0bac
hexb7026b8b31fc

201221022102012 has 72 divisors (see below), whose sum is σ = 566688217036032. Its totient is φ = 59678704164000.

The previous prime is 201221022101867. The next prime is 201221022102029. The reversal of 201221022102012 is 210201220122102.

It is a happy number.

201221022102012 is a `hidden beast` number, since 20 + 1 + 221 + 0 + 221 + 0 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5405661114 + ... + 5405698337.

It is an arithmetic number, because the mean of its divisors is an integer number (7870669681056).

Almost surely, 2201221022102012 is an apocalyptic number.

201221022102012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201221022102012 is an abundant number, since it is smaller than the sum of its proper divisors (365467194934020).

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

201221022102012 is a wasteful number, since it uses less digits than its factorization.

201221022102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811359519 (or 10811359514 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201221022102012 its reverse (210201220122102), we get a palindrome (411422242224114).

It can be divided in two parts, 20122102 and 2102012, that multiplied together give a palindrome (42296899869224).

The spelling of 201221022102012 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-two million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 18612 10811359451 21622718902 32434078353 43245437804 64868156706 97302235059 118924953961 129736313412 194604470118 237849907922 356774861883 389208940236 475699815844 508133894197 713549723766 1016267788394 1070324585649 1427099447532 1524401682591 2032535576788 2140649171298 3048803365182 4281298342596 4573205047773 5589472836167 6097606730364 9146410095546 11178945672334 16768418508501 18292820191092 22357891344668 33536837017002 50305255525503 67073674034004 100610511051006 201221022102012