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100100222221101 = 31941732712165131
BaseRepresentation
bin10110110000101001100110…
…001011111111101100101101
3111010102111011121002212120120
4112300221212023333230231
5101110020223342033401
6552521223544435153
730041000552024544
oct2660514613775455
9433374147085516
10100100222221101
11299932a1922283
12b288115a78ab9
1343b15449c005b
141aa0c3b59b15b
15b88c832a2836
hex5b0a662ffb2d

100100222221101 has 64 divisors (see below), whose sum is σ = 146428050370560. Its totient is φ = 60609783168000.

The previous prime is 100100222221091. The next prime is 100100222221123. The reversal of 100100222221101 is 101122222001001.

It is not a de Polignac number, because 100100222221101 - 210 = 100100222220077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100222221501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45150306 + ... + 47315436.

It is an arithmetic number, because the mean of its divisors is an integer number (2287938287040).

Almost surely, 2100100222221101 is an apocalyptic number.

It is an amenable number.

100100222221101 is a deficient number, since it is larger than the sum of its proper divisors (46327828149459).

100100222221101 is a wasteful number, since it uses less digits than its factorization.

100100222221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165538.

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

Adding to 100100222221101 its reverse (101122222001001), we get a palindrome (201222444222102).

The spelling of 100100222221101 in words is "one hundred trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 19 41 57 73 123 219 271 779 813 1387 2337 2993 4161 5149 8979 11111 15447 19783 33333 56867 59349 170601 211109 375877 633327 811103 1127631 2165131 2433309 6495393 15410957 41137489 46232871 88770371 123412467 158054563 266311113 474163689 586750501 1686637049 1760251503 3003036697 5059911147 6480237083 9009110091 11148259519 19440711249 24056770541 33444778557 42832786573 72170311623 123124504577 128498359719 369373513731 457078640279 813822944887 1371235920837 1756144249493 2441468834661 5268432748479 33366740740367 100100222221101