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1101010120221 = 3112331181263983
BaseRepresentation
bin10000000001011001010…
…100010010111000011101
310220020220021210012011210
4100001121110102320131
5121014332042321341
62201444055535033
7142355025415314
oct20013124227035
93806807705153
101101010120221
11394a325672a0
1215947208a479
137ca9514994b
143b4096cb27b
151d98e4d0c16
hex10059512e1d

1101010120221 has 128 divisors (see below), whose sum is σ = 1742901608448. Its totient is φ = 611306784000.

The previous prime is 1101010120201. The next prime is 1101010120279. The reversal of 1101010120221 is 1220210101011.

It is not a de Polignac number, because 1101010120221 - 29 = 1101010119709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101010120197 and 1101010120206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101010120201) 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, 1120050496 + ... + 1120051478.

It is an arithmetic number, because the mean of its divisors is an integer number (13616418816).

Almost surely, 21101010120221 is an apocalyptic number.

1101010120221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101010120221 is a deficient number, since it is larger than the sum of its proper divisors (641891488227).

1101010120221 is a wasteful number, since it uses less digits than its factorization.

1101010120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495.

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

Adding to 1101010120221 its reverse (1220210101011), we get a palindrome (2321220221232).

The spelling of 1101010120221 in words is "one trillion, one hundred one billion, ten million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 11 23 31 33 69 93 181 253 263 341 543 713 759 789 983 1023 1991 2139 2893 2949 4163 5611 5973 6049 7843 8153 8679 10813 12489 16833 18147 22609 23529 24459 30473 32439 45793 47603 61721 66539 67827 89683 91419 129053 137379 142809 177923 185163 187519 199617 248699 258529 269049 335203 387159 523633 533769 562557 700879 746097 775587 1005609 1094869 1419583 1475693 1570899 1957153 2062709 2102637 2843819 3284607 4092229 4258749 4427079 5515613 5871459 5946167 6188127 7709669 8014399 8531457 12043559 12276687 16232623 16546839 17838501 23129007 24043197 33940939 36130677 45014519 46793749 48697869 60671743 65407837 88158389 101822817 126859099 135043557 140381247 182015229 184331177 196223511 264475167 373350329 380577297 514731239 552993531 1076256227 1120050987 1395450089 1450606219 1544193717 2027642947 3228768681 4186350267 4351818657 6082928841 11838818497 15956668409 33363943037 35516455491 47870005227 100091829111 367003373407 1101010120221