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12021202002100 = 22521094787230387
BaseRepresentation
bin1010111011101110011101…
…1110011010000010110100
31120120012211020101101221111
42232323213132122002310
53033423410203031400
641322244114324404
72350334410033504
oct256734736320264
946505736341844
1012021202002100
113915188157895
121421958289704
13692796110065
142d7b87795a04
1515ca744703ba
hexaeee779a0b4

12021202002100 has 72 divisors (see below), whose sum is σ = 26330943149280. Its totient is φ = 4763350350720.

The previous prime is 12021202002023. The next prime is 12021202002109. The reversal of 12021202002100 is 120020212021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021202002109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52063107 + ... + 52293493.

It is an arithmetic number, because the mean of its divisors is an integer number (365707543740).

Almost surely, 212021202002100 is an apocalyptic number.

12021202002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021202002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165471574640).

12021202002100 is an abundant number, since it is smaller than the sum of its proper divisors (14309741147180).

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

12021202002100 is a wasteful number, since it uses less digits than its factorization.

12021202002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235297 (or 235290 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12021202002100 its reverse (120020212021), we get a palindrome (12141222214121).

The spelling of 12021202002100 in words is "twelve trillion, twenty-one billion, two hundred two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 4787 5450 9574 10900 19148 23935 47870 95740 119675 230387 239350 460774 478700 521783 921548 1043566 1151935 2087132 2303870 2608915 4607740 5217830 5759675 10435660 11519350 13044575 23038700 25112183 26089150 50224366 52178300 100448732 125560915 251121830 502243660 627804575 1102862569 1255609150 2205725138 2511218300 4411450276 5514312845 11028625690 22057251380 27571564225 55143128450 110286256900 120212020021 240424040042 480848080084 601060100105 1202120200210 2404240400420 3005300500525 6010601001050 12021202002100