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212002102001 is a prime number
BaseRepresentation
bin1100010101110001001…
…1110101101011110001
3202021012210100122020202
43011130103311223301
511433140014231001
6241220432444545
721213416064014
oct3053423655361
9667183318222
10212002102001
1181a00729068
12351070a9755
1316cb7a3b691
14a3920c937b
1557abeac96b
hex315c4f5af1

212002102001 has 2 divisors, whose sum is σ = 212002102002. Its totient is φ = 212002102000.

The previous prime is 212002101953. The next prime is 212002102003. The reversal of 212002102001 is 100201200212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116060136976 + 95941965025 = 340676^2 + 309745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212002102001 is a prime.

Together with 212002102003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (212002102003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106001051000 + 106001051001.

It is an arithmetic number, because the mean of its divisors is an integer number (106001051001).

Almost surely, 2212002102001 is an apocalyptic number.

It is an amenable number.

212002102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212002102001 is an equidigital number, since it uses as much as digits as its factorization.

212002102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212002102001 its reverse (100201200212), we get a palindrome (312203302213).

The spelling of 212002102001 in words is "two hundred twelve billion, two million, one hundred two thousand, one".