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12102112210100 = 22521111001920191
BaseRepresentation
bin1011000000011011111000…
…0110010110110010110100
31120211221200000012211120212
42300012332012112302310
53041240111211210400
641423344505044552
72356230423330653
oct260067606266264
946757600184525
1012102112210100
113946527928690
121435578a86758
1369a2bb9a3993
142dba6138719a
1515ec0c7d5335
hexb01be196cb4

12102112210100 has 36 divisors (see below), whose sum is σ = 28649000179968. Its totient is φ = 4400768076000.

The previous prime is 12102112210087. The next prime is 12102112210151. The reversal of 12102112210100 is 101221120121.

It is a super-2 number, since 2×121021122101002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5500958996 + ... + 5500961195.

Almost surely, 212102112210100 is an apocalyptic number.

12102112210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102112210100 is an abundant number, since it is smaller than the sum of its proper divisors (16546887969868).

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

12102112210100 is a wasteful number, since it uses less digits than its factorization.

12102112210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001920216 (or 11001920209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12102112210100 its reverse (101221120121), we get a palindrome (12203333330221).

The spelling of 12102112210100 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 11001920191 22003840382 44007680764 55009600955 110019201910 121021122101 220038403820 242042244202 275048004775 484084488404 550096009550 605105610505 1100192019100 1210211221010 2420422442020 3025528052525 6051056105050 12102112210100