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21010100201 is a prime number
BaseRepresentation
bin10011100100010011…
…001010111111101001
32000020020012200020022
4103210103022333221
5321012041201301
613352451210225
71342435622306
oct234423127751
960206180208
1021010100201
118a01721282
1240a42a6975
131c9aa4016c
1410345020ad
1582e794d1b
hex4e44cafe9

21010100201 has 2 divisors, whose sum is σ = 21010100202. Its totient is φ = 21010100200.

The previous prime is 21010100197. The next prime is 21010100203. The reversal of 21010100201 is 10200101012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20005273600 + 1004826601 = 141440^2 + 31699^2 .

It is a cyclic number.

It is not a de Polignac number, because 21010100201 - 22 = 21010100197 is a prime.

Together with 21010100203, 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 (21010100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505050100 + 10505050101.

It is an arithmetic number, because the mean of its divisors is an integer number (10505050101).

Almost surely, 221010100201 is an apocalyptic number.

It is an amenable number.

21010100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21010100201 is an equidigital number, since it uses as much as digits as its factorization.

21010100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21010100201 its reverse (10200101012), we get a palindrome (31210201213).

The spelling of 21010100201 in words is "twenty-one billion, ten million, one hundred thousand, two hundred one".