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12100200101000 = 2353112234932817
BaseRepresentation
bin1011000000010100110000…
…1000001111010010001000
31120211202201202020122000022
42300011030020033102020
53041222202211213000
641422431042000012
72356132144555604
oct260051410172210
946752652218008
1012100200101000
113945736561830
121435124646008
1369a0757c058b
142db91d44a504
1515eb499d4585
hexb014c20f488

12100200101000 has 128 divisors (see below), whose sum is σ = 31027030594560. Its totient is φ = 4380340608000.

The previous prime is 12100200100987. The next prime is 12100200101057. The reversal of 12100200101000 is 10100200121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13409 + ... + 4919408.

It is an arithmetic number, because the mean of its divisors is an integer number (242398676520).

Almost surely, 212100200101000 is an apocalyptic number.

12100200101000 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 12100200101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513515297280).

12100200101000 is an abundant number, since it is smaller than the sum of its proper divisors (18926830493560).

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

12100200101000 is a wasteful number, since it uses less digits than its factorization.

12100200101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933072 (or 4933058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100200101000 its reverse (10100200121), we get a palindrome (12110300301121).

The spelling of 12100200101000 in words is "twelve trillion, one hundred billion, two hundred million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 223 250 275 440 446 500 550 892 1000 1100 1115 1375 1784 2200 2230 2453 2750 4460 4906 5500 5575 8920 9812 11000 11150 12265 19624 22300 24530 27875 44600 49060 55750 61325 98120 111500 122650 223000 245300 306625 490600 613250 1226500 2453000 4932817 9865634 19731268 24664085 39462536 49328170 54260987 98656340 108521974 123320425 197312680 217043948 246640850 271304935 434087896 493281700 542609870 616602125 986563400 1085219740 1100018191 1233204250 1356524675 2170439480 2200036382 2466408500 2713049350 4400072764 4932817000 5426098700 5500090955 6782623375 8800145528 10852197400 11000181910 12100200101 13565246750 22000363820 24200400202 27130493500 27500454775 44000727640 48400800404 54260987000 55000909550 60501000505 96801600808 110001819100 121002001010 137502273875 220003638200 242004002020 275004547750 302505002525 484008004040 550009095500 605010005050 1100018191000 1210020010100 1512525012625 2420040020200 3025050025250 6050100050500 12100200101000