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12100211101 = 111100019191
BaseRepresentation
bin10110100010011101…
…01001000110011101
31011020021200102010201
423101032221012131
5144240123223401
65320405303501
7605566045246
oct132116510635
934207612121
1012100211101
11514a287770
122418404b91
1311aab50434
1482b065ccd
154ac467b01
hex2d13a919d

12100211101 has 4 divisors (see below), whose sum is σ = 13200230304. Its totient is φ = 11000191900.

The previous prime is 12100211093. The next prime is 12100211107. The reversal of 12100211101 is 10111200121.

12100211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10111200121 = 11919200011.

It is a cyclic number.

It is not a de Polignac number, because 12100211101 - 23 = 12100211093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100211107) 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 3 ways as a sum of consecutive naturals, for example, 550009585 + ... + 550009606.

It is an arithmetic number, because the mean of its divisors is an integer number (3300057576).

Almost surely, 212100211101 is an apocalyptic number.

12100211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12100211101 is a deficient number, since it is larger than the sum of its proper divisors (1100019203).

12100211101 is a wasteful number, since it uses less digits than its factorization.

12100211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100019202.

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

Adding to 12100211101 its reverse (10111200121), we get a palindrome (22211411222).

The spelling of 12100211101 in words is "twelve billion, one hundred million, two hundred eleven thousand, one hundred one".

Divisors: 1 11 1100019191 12100211101