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21221121200100 = 2235275731934057
BaseRepresentation
bin1001101001100111011010…
…11001000000111111100100
32210010201102102102202021120
410310303231121000333210
510240141324011400400
6113044503135213540
74320114110662533
oct464635531007744
983121372382246
1021221121200100
1168419107583a8
1224689666772b0
13bac1b263a783
1453517192831a
1526c023e5eca0
hex134ced640fe4

21221121200100 has 72 divisors (see below), whose sum is σ = 61400653835808. Its totient is φ = 5658884870400.

The previous prime is 21221121200023. The next prime is 21221121200101. The reversal of 21221121200100 is 100212112212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21221121200100.

It is not an unprimeable number, because it can be changed into a prime (21221121200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22252272 + ... + 23186328.

Almost surely, 221221121200100 is an apocalyptic number.

21221121200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221121200100 is an abundant number, since it is smaller than the sum of its proper divisors (40179532635708).

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

21221121200100 is a wasteful number, since it uses less digits than its factorization.

21221121200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009805 (or 1009798 counting only the distinct ones).

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

Adding to 21221121200100 its reverse (100212112212), we get a palindrome (21321333312312).

The spelling of 21221121200100 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 75731 151462 227193 302924 378655 454386 757310 908772 934057 1135965 1514620 1868114 1893275 2271930 2802171 3736228 3786550 4543860 4670285 5604342 5679825 7573100 9340570 11208684 11359650 14010855 18681140 22719300 23351425 28021710 46702850 56043420 70054275 93405700 140108550 280217100 70737070667 141474141334 212211212001 282948282668 353685353335 424422424002 707370706670 848844848004 1061056060005 1414741413340 1768426766675 2122112120010 3536853533350 4244224240020 5305280300025 7073707066700 10610560600050 21221121200100