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12021101100100 = 2252437139374717
BaseRepresentation
bin1010111011101110000101…
…1101011111110001000100
31120120012120012112001102101
42232323201131133301010
53033423203340200400
641322230111521444
72350332043263541
oct256734135376104
946505505461371
1012021101100100
1139151361aa704
12142192a529284
1369277b241b31
142d7b7820bbc8
1515ca6a68d56a
hexaeee175fc44

12021101100100 has 72 divisors (see below), whose sum is σ = 27068386137408. Its totient is φ = 4630466601600.

The previous prime is 12021101100031. The next prime is 12021101100109. The reversal of 12021101100100 is 100110112021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12021101100109) 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, 19382059 + ... + 19992658.

It is an arithmetic number, because the mean of its divisors is an integer number (375949807464).

Almost surely, 212021101100100 is an apocalyptic number.

12021101100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021101100100 is an abundant number, since it is smaller than the sum of its proper divisors (15047285037308).

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

12021101100100 is a wasteful number, since it uses less digits than its factorization.

12021101100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39374845 (or 39374838 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12021101100100 its reverse (100110112021), we get a palindrome (12121211212121).

The spelling of 12021101100100 in words is "twelve trillion, twenty-one billion, one hundred one million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 71 86 100 142 172 215 284 355 430 710 860 1075 1420 1775 2150 3053 3550 4300 6106 7100 12212 15265 30530 61060 76325 152650 305300 39374717 78749434 157498868 196873585 393747170 787494340 984367925 1693112831 1968735850 2795604907 3386225662 3937471700 5591209814 6772451324 8465564155 11182419628 13978024535 16931128310 27956049070 33862256620 42327820775 55912098140 69890122675 84655641550 120211011001 139780245350 169311283100 240422022002 279560490700 480844044004 601055055005 1202110110010 2404220220020 3005275275025 6010550550050 12021101100100