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12202100101 is a prime number
BaseRepresentation
bin10110101110100110…
…10100010110000101
31011111101101220120101
423113103110112011
5144442214200401
65334445204101
7611244065602
oct132723242605
934441356511
1012202100101
1151a1849454
122446560631
1311c5ca5999
1483a7c96a9
154b6392101
hex2d74d4585

12202100101 has 2 divisors, whose sum is σ = 12202100102. Its totient is φ = 12202100100.

The previous prime is 12202100087. The next prime is 12202100129. The reversal of 12202100101 is 10100120221.

12202100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9756303076 + 2445797025 = 98774^2 + 49455^2 .

It is a cyclic number.

It is not a de Polignac number, because 12202100101 - 223 = 12193711493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12202100401) 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 as a sum of consecutive naturals, namely, 6101050050 + 6101050051.

It is an arithmetic number, because the mean of its divisors is an integer number (6101050051).

Almost surely, 212202100101 is an apocalyptic number.

It is an amenable number.

12202100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12202100101 is an equidigital number, since it uses as much as digits as its factorization.

12202100101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12202100101 its reverse (10100120221), we get a palindrome (22302220322).

The spelling of 12202100101 in words is "twelve billion, two hundred two million, one hundred thousand, one hundred one".