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100212120221109 = 31353618314296701
BaseRepresentation
bin10110110010010001110011…
…110100111111010110110101
3111010211011222221221020111020
4112302101303310333112311
5101113333410234033414
6553044451255131353
730052041521234661
oct2662216364772665
9433734887836436
10100212120221109
1129a267a3381936
12b2a5944373b59
1343bbc684a0390
141aa64148878a1
15b8bb31d107a9
hex5b2473d3f5b5

100212120221109 has 128 divisors (see below), whose sum is σ = 150936134469120. Its totient is φ = 58746594816000.

The previous prime is 100212120221077. The next prime is 100212120221113. The reversal of 100212120221109 is 901122021212001.

It is not a de Polignac number, because 100212120221109 - 25 = 100212120221077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212120221909) 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, 14954797459 + ... + 14954804159.

It is an arithmetic number, because the mean of its divisors is an integer number (1179188550540).

Almost surely, 2100212120221109 is an apocalyptic number.

It is an amenable number.

100212120221109 is a deficient number, since it is larger than the sum of its proper divisors (50724014248011).

100212120221109 is a wasteful number, since it uses less digits than its factorization.

100212120221109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343.

The product of its (nonzero) digits is 288, while the sum is 24.

The spelling of 100212120221109 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, one hundred nine".

Divisors: 1 3 13 39 53 61 83 159 183 249 689 793 1079 1429 2067 2379 3233 3237 4287 4399 5063 6701 9699 13197 15189 18577 20103 42029 55731 57187 65819 75737 87113 87169 118607 126087 171561 197457 227211 261339 261507 268339 355153 355821 408761 556183 805017 984581 1065459 1133197 1226283 1541891 1668549 2953743 3399591 3488407 4616989 4619957 4625673 5313893 6286171 7230379 7235027 9575729 10465221 13850967 13859871 15941679 18858513 21664333 21691137 21705081 28727187 29477699 33927163 60059441 64992999 81720223 88433097 94055351 101781489 124484477 180178323 245160669 281636329 282166053 373453431 383210087 383456431 441053119 507513637 584119469 794785507 844908987 1149630261 1150369293 1323159357 1522540911 1752358407 1798139639 2384356521 4984933603 5394418917 6597677281 7593553097 10332211591 14954800809 19793031843 22780659291 23375815307 30958331857 30996634773 42123631871 48481915927 70127445921 92874995571 126370895613 145445747781 402458314141 547607214323 630264907051 1207374942423 1642821642969 1890794721153 2569541544131 7708624632393 33404040073703 100212120221109