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21221011122102 = 232111735871055399
BaseRepresentation
bin1001101001100111001101…
…10101000110011110110110
32210010201010202022012122200
410310303212311012132312
510240141112321401402
6113044444204005330
74320111303224451
oct464634665063666
983121122265580
1021221011122102
116841864603150
122468935830846
13bac1958a8a6c
14535161072498
1526c01946921c
hex134ce6d467b6

21221011122102 has 96 divisors (see below), whose sum is σ = 50534679686400. Its totient is φ = 6382540512960.

The previous prime is 21221011122019. The next prime is 21221011122251. The reversal of 21221011122102 is 20122111012212.

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 47 ways as a sum of consecutive naturals, for example, 19579399 + ... + 20634797.

It is an arithmetic number, because the mean of its divisors is an integer number (526402913400).

Almost surely, 221221011122102 is an apocalyptic number.

21221011122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221011122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25267339843200).

21221011122102 is an abundant number, since it is smaller than the sum of its proper divisors (29313668564298).

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

21221011122102 is a wasteful number, since it uses less digits than its factorization.

21221011122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056178 (or 1056175 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21221011122102 its reverse (20122111012212), we get a palindrome (41343122134314).

The spelling of 21221011122102 in words is "twenty-one trillion, two hundred twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 173 198 346 519 587 1038 1174 1557 1761 1903 3114 3522 3806 5283 5709 6457 10566 11418 12914 17127 19371 34254 38742 58113 101551 116226 203102 304653 609306 913959 1055399 1117061 1827918 2110798 2234122 3166197 3351183 6332394 6702366 9498591 10053549 11609389 18997182 20107098 23218778 34828167 69656334 104484501 182584027 208969002 365168054 547752081 619519213 1095504162 1239038426 1643256243 1858557639 2008424297 3286512486 3717115278 4016848594 5575672917 6025272891 6814711343 11151345834 12050545782 13629422686 18075818673 20444134029 36151637346 40888268058 61332402087 107176823849 122664804174 214353647698 321530471547 643060943094 964591414641 1178945062339 1929182829282 2357890124678 3536835187017 7073670374034 10610505561051 21221011122102