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12100100221 = 111201915911
BaseRepresentation
bin10110100010011100…
…01110000001111101
31011020021110210001001
423101032032001331
5144240111201341
65320403050301
7605565104056
oct132116160175
934207423031
1012100100221
11514a211430
122418370991
1311aab11b21
1482b03772d
154ac444d31
hex2d138e07d

12100100221 has 8 divisors (see below), whose sum is σ = 13211114688. Its totient is φ = 10990920000.

The previous prime is 12100100219. The next prime is 12100100261. The reversal of 12100100221 is 12200100121.

12100100221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12100100221 - 21 = 12100100219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12100100198 and 12100100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100100261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 444745 + ... + 471166.

It is an arithmetic number, because the mean of its divisors is an integer number (1651389336).

Almost surely, 212100100221 is an apocalyptic number.

12100100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100100221 is a deficient number, since it is larger than the sum of its proper divisors (1111014467).

12100100221 is a wasteful number, since it uses less digits than its factorization.

12100100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917123.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12100100221 its reverse (12200100121), we get a palindrome (24300200342).

The spelling of 12100100221 in words is "twelve billion, one hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 11 1201 13211 915911 10075021 1100009111 12100100221