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12101313222101 is a prime number
BaseRepresentation
bin1011000000011000111001…
…1110011101010111010101
31120211212121022210001002202
42300012032132131113111
53041231442141101401
641423133324014245
72356201552130615
oct260061636352725
946755538701082
1012101313222101
113946157919124
121435395391385
1369a1c22b660c
142db9c7202a45
1515ebb25ad06b
hexb018e79d5d5

12101313222101 has 2 divisors, whose sum is σ = 12101313222102. Its totient is φ = 12101313222100.

The previous prime is 12101313222091. The next prime is 12101313222127. The reversal of 12101313222101 is 10122231310121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8902047976900 + 3199265245201 = 2983630^2 + 1788649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12101313222101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101313222191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050656611050 + 6050656611051.

It is an arithmetic number, because the mean of its divisors is an integer number (6050656611051).

Almost surely, 212101313222101 is an apocalyptic number.

It is an amenable number.

12101313222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101313222101 is an equidigital number, since it uses as much as digits as its factorization.

12101313222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12101313222101 its reverse (10122231310121), we get a palindrome (22223544532222).

The spelling of 12101313222101 in words is "twelve trillion, one hundred one billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred one".