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212001200101 is a prime number
BaseRepresentation
bin1100010101110001000…
…0011001011111100101
3202021012201122211002001
43011130100121133211
511433134301400401
6241220401245301
721213405316405
oct3053420313745
9667181584061
10212001200101
1181a00172499
1235106933831
1316cb77b4002
14a391d32805
1557abd80601
hex315c4197e5

212001200101 has 2 divisors, whose sum is σ = 212001200102. Its totient is φ = 212001200100.

The previous prime is 212001200077. The next prime is 212001200113. The reversal of 212001200101 is 101002100212.

212001200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194105449476 + 17895750625 = 440574^2 + 133775^2 .

It is a cyclic number.

It is not a de Polignac number, because 212001200101 - 215 = 212001167333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212001201101) 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, 106000600050 + 106000600051.

It is an arithmetic number, because the mean of its divisors is an integer number (106000600051).

Almost surely, 2212001200101 is an apocalyptic number.

It is an amenable number.

212001200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

212001200101 is an equidigital number, since it uses as much as digits as its factorization.

212001200101 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 212001200101 its reverse (101002100212), we get a palindrome (313003300313).

The spelling of 212001200101 in words is "two hundred twelve billion, one million, two hundred thousand, one hundred one".