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210100122109 is a prime number
BaseRepresentation
bin1100001110101011110…
…0010111000111111101
3202002022020110001100001
43003222330113013331
511420241112401414
6240304010434301
721115322400103
oct3035274270775
9662266401301
10210100122109
1181115050459
1234876132991
1316a739938a7
14a251667c73
1556ea00d074
hex30eaf171fd

210100122109 has 2 divisors, whose sum is σ = 210100122110. Its totient is φ = 210100122108.

The previous prime is 210100122073. The next prime is 210100122149. The reversal of 210100122109 is 901221001012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 191097499609 + 19002622500 = 437147^2 + 137850^2 .

It is a cyclic number.

It is not a de Polignac number, because 210100122109 - 225 = 210066567677 is a prime.

It is a super-2 number, since 2×2101001221092 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210100122149) 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, 105050061054 + 105050061055.

It is an arithmetic number, because the mean of its divisors is an integer number (105050061055).

Almost surely, 2210100122109 is an apocalyptic number.

It is an amenable number.

210100122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100122109 is an equidigital number, since it uses as much as digits as its factorization.

210100122109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 210100122109 in words is "two hundred ten billion, one hundred million, one hundred twenty-two thousand, one hundred nine".