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12101101212321 = 3211294214942951
BaseRepresentation
bin1011000000011000000111…
…0101101101001010100001
31120211212001112211211100200
42300012001311231022201
53041231023402243241
641423100311535413
72356163366103402
oct260060165551241
946755045754320
1012101101212321
113946059183030
12143533638a569
1369a18a3b5a44
142db9a6db59a9
1515eb9db804b6
hexb0181d6d2a1

12101101212321 has 24 divisors (see below), whose sum is σ = 19725933015360. Its totient is φ = 7081104156000.

The previous prime is 12101101212289. The next prime is 12101101212341. The reversal of 12101101212321 is 12321210110121.

It is a happy number.

12101101212321 is a `hidden beast` number, since 1 + 21 + 0 + 110 + 1 + 212 + 321 = 666.

It is not a de Polignac number, because 12101101212321 - 25 = 12101101212289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12101101212294 and 12101101212303.

It is not an unprimeable number, because it can be changed into a prime (12101101212341) 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, 2107468605 + ... + 2107474346.

It is an arithmetic number, because the mean of its divisors is an integer number (821913875640).

Almost surely, 212101101212321 is an apocalyptic number.

12101101212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12101101212321 is a deficient number, since it is larger than the sum of its proper divisors (7624831803039).

12101101212321 is a wasteful number, since it uses less digits than its factorization.

12101101212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214942997 (or 4214942994 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12101101212321 its reverse (12321210110121), we get a palindrome (24422311322442).

The spelling of 12101101212321 in words is "twelve trillion, one hundred one billion, one hundred one million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 4214942951 12644828853 37934486559 46364372461 122233345579 139093117383 366700036737 417279352149 1100100110211 1344566801369 4033700404107 12101101212321